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1330122432 = 26317596907
BaseRepresentation
bin100111101001000…
…0000111011000000
310102200212012221210
41033102000323000
510211002404212
6335553050120
744650565652
oct11722007300
93380765853
101330122432
11622901741
12311556940
131827538c2
14c89226d2
157bb9053c
hex4f480ec0

1330122432 has 112 divisors (see below), whose sum is σ = 3790005120. Its totient is φ = 410161152.

The previous prime is 1330122427. The next prime is 1330122433. The reversal of 1330122432 is 2342210331.

It is a junction number, because it is equal to n+sod(n) for n = 1330122399 and 1330122408.

It is not an unprimeable number, because it can be changed into a prime (1330122433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189123 + ... + 196029.

Almost surely, 21330122432 is an apocalyptic number.

1330122432 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 1330122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895002560).

1330122432 is an abundant number, since it is smaller than the sum of its proper divisors (2459882688).

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

1330122432 is a wasteful number, since it uses less digits than its factorization.

1330122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1330122432 is about 36470.8435877209. The cubic root of 1330122432 is about 1099.7581925786.

Adding to 1330122432 its reverse (2342210331), we get a palindrome (3672332763).

The spelling of 1330122432 in words is "one billion, three hundred thirty million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 136 177 192 204 236 272 354 408 472 544 708 816 944 1003 1088 1416 1632 1888 2006 2832 3009 3264 3776 4012 5664 6018 6907 8024 11328 12036 13814 16048 20721 24072 27628 32096 41442 48144 55256 64192 82884 96288 110512 117419 165768 192576 221024 234838 331536 352257 407513 442048 469676 663072 704514 815026 939352 1222539 1326144 1409028 1630052 1878704 2445078 2818056 3260104 3757408 4890156 5636112 6520208 6927721 7514816 9780312 11272224 13040416 13855442 19560624 20783163 22544448 26080832 27710884 39121248 41566326 55421768 78242496 83132652 110843536 166265304 221687072 332530608 443374144 665061216 1330122432