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1130024232 = 2332731631319
BaseRepresentation
bin100001101011010…
…1100110100101000
32220202100011211100
41003112230310220
54303241233412
6304044201400
740001022201
oct10326546450
92822304740
101130024232
1152a961a27
12276539260
131501639bc
14aa1165a8
1569316edc
hex435acd28

1130024232 has 96 divisors (see below), whose sum is σ = 3123806400. Its totient is φ = 368955648.

The previous prime is 1130024197. The next prime is 1130024251. The reversal of 1130024232 is 2324200311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856069 + ... + 857387.

It is an arithmetic number, because the mean of its divisors is an integer number (32539650).

Almost surely, 21130024232 is an apocalyptic number.

1130024232 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 1130024232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561903200).

1130024232 is an abundant number, since it is smaller than the sum of its proper divisors (1993782168).

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

1130024232 is a wasteful number, since it uses less digits than its factorization.

1130024232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1130024232 is about 33615.8330552732. The cubic root of 1130024232 is about 1041.5878825563.

Adding to 1130024232 its reverse (2324200311), we get a palindrome (3454224543).

It can be divided in two parts, 1130024 and 232, that added together give a triangular number (1130256 = T1503).

The spelling of 1130024232 in words is "one billion, one hundred thirty million, twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 163 219 292 326 438 489 584 652 657 876 978 1304 1314 1319 1467 1752 1956 2628 2638 2934 3912 3957 5256 5276 5868 7914 10552 11736 11871 11899 15828 23742 23798 31656 35697 47484 47596 71394 94968 95192 96287 107091 142788 192574 214182 214997 285576 288861 385148 428364 429994 577722 644991 770296 856728 859988 866583 1155444 1289982 1719976 1733166 1934973 2310888 2579964 3466332 3869946 5159928 6932664 7739892 15479784 15694781 31389562 47084343 62779124 94168686 125558248 141253029 188337372 282506058 376674744 565012116 1130024232