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130891024 = 24112174197
BaseRepresentation
bin1111100110100…
…11110100010000
3100010021221201201
413303103310100
5232002003044
620553240544
73146361325
oct763236420
9303257651
10130891024
1167980400
1237a03154
132116b214
1413552b4c
15b7577d4
hex7cd3d10

130891024 has 120 divisors (see below), whose sum is σ = 305464824. Its totient is φ = 54067200.

The previous prime is 130891003. The next prime is 130891037. The reversal of 130891024 is 420198031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 123921424 = 2640^2 + 11132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130890983 and 130891001.

It is a congruent number.

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, 1349344 + ... + 1349440.

Almost surely, 2130891024 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 130891024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152732412).

130891024 is an abundant number, since it is smaller than the sum of its proper divisors (174573800).

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

130891024 is a wasteful number, since it uses less digits than its factorization.

130891024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 130891024 is about 11440.7615131162. The cubic root of 130891024 is about 507.7344386689.

The spelling of 130891024 in words is "one hundred thirty million, eight hundred ninety-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 82 88 97 121 136 164 176 187 194 242 272 328 374 388 451 484 656 697 748 776 902 968 1067 1394 1496 1552 1649 1804 1936 2057 2134 2788 2992 3298 3608 3977 4114 4268 4961 5576 6596 7216 7667 7954 8228 8536 9922 11152 11737 13192 15334 15908 16456 17072 18139 19844 23474 26384 30668 31816 32912 36278 39688 43747 46948 61336 63632 67609 72556 79376 84337 87494 93896 122672 135218 145112 168674 174988 187792 199529 270436 290224 337348 349976 399058 481217 540872 674696 699952 743699 798116 962434 1081744 1349392 1487398 1596232 1924868 2974796 3192464 3849736 5949592 7699472 8180689 11899184 16361378 32722756 65445512 130891024