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1330020432 = 2433131713931
BaseRepresentation
bin100111101000110…
…1000000001010000
310102200200001001000
41033101220001100
510210441123212
6335550542000
744646662406
oct11721500120
93380601030
101330020432
11622842044
12311507900
13182719350
14c88d7476
157bb701dc
hex4f468050

1330020432 has 160 divisors (see below), whose sum is σ = 4353471360. Its totient is φ = 385136640.

The previous prime is 1330020407. The next prime is 1330020457. The reversal of 1330020432 is 2340200331.

It is an interprime number because it is at equal distance from previous prime (1330020407) and next prime (1330020457).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88507 + ... + 102437.

It is an arithmetic number, because the mean of its divisors is an integer number (27209196).

Almost surely, 21330020432 is an apocalyptic number.

1330020432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176735680).

1330020432 is an abundant number, since it is smaller than the sum of its proper divisors (3023450928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330020432 is a wasteful number, since it uses less digits than its factorization.

1330020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1330020432 is about 36469.4451836054. The cubic root of 1330020432 is about 1099.7300803286.

Adding to 1330020432 its reverse (2340200331), we get a palindrome (3670220763).

The spelling of 1330020432 in words is "one billion, three hundred thirty million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1404 1768 1836 1872 1989 2448 2652 2808 3536 3672 3978 5304 5616 5967 7344 7956 10608 11934 13931 15912 23868 27862 31824 41793 47736 55724 83586 95472 111448 125379 167172 181103 222896 236827 250758 334344 362206 376137 473654 501516 543309 668688 710481 724412 752274 947308 1003032 1086618 1420962 1448824 1504548 1629927 1894616 2006064 2131443 2173236 2841924 2897648 3009096 3078751 3259854 3789232 4262886 4346472 4889781 5683848 6018192 6157502 6394329 6519708 8525772 8692944 9236253 9779562 11367696 12315004 12788658 13039416 17051544 18472506 19559124 24630008 25577316 26078832 27708759 34103088 36945012 39118248 49260016 51154632 55417518 73890024 78236496 83126277 102309264 110835036 147780048 166252554 221670072 332505108 443340144 665010216 1330020432