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130910988 = 2231319291523
BaseRepresentation
bin1111100110110…
…00101100001100
3100010022222010010
413303120230030
5232003122423
620553513220
73146503455
oct763305414
9303288103
10130910988
11679943aa
1237a12810
1321177330
141355a12c
15b75d693
hex7cd8b0c

130910988 has 96 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 36820224.

The previous prime is 130910987. The next prime is 130910993. The reversal of 130910988 is 889019031.

It is a happy number.

It is a super-2 number, since 2×1309109882 = 34275373558272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130910981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85195 + ... + 86717.

It is an arithmetic number, because the mean of its divisors is an integer number (3733800).

Almost surely, 2130910988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130910988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

130910988 is an abundant number, since it is smaller than the sum of its proper divisors (227533812).

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

130910988 is a wasteful number, since it uses less digits than its factorization.

130910988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 130910988 is about 11441.6339742189. The cubic root of 130910988 is about 507.7602512233.

The spelling of 130910988 in words is "one hundred thirty million, nine hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 156 174 228 247 348 377 494 551 741 754 988 1102 1131 1482 1508 1523 1653 2204 2262 2964 3046 3306 4524 4569 6092 6612 7163 9138 14326 18276 19799 21489 28652 28937 39598 42978 44167 57874 59397 79196 85956 86811 88334 115748 118794 132501 173622 176668 237588 265002 347244 376181 530004 574171 752362 839173 1128543 1148342 1504724 1678346 1722513 2257086 2296684 2517519 3356692 3445026 4514172 5035038 6890052 10070076 10909249 21818498 32727747 43636996 65455494 130910988