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130762398 = 23132432999
BaseRepresentation
bin1111100101101…
…00011010011110
3100010001102021210
413302310122132
5231433344043
620550405250
73145314324
oct762643236
9303042253
10130762398
11678a27a8
1237960826
1321124800
141351bd14
15b72e633
hex7cb469e

130762398 has 48 divisors (see below), whose sum is σ = 289872000. Its totient is φ = 39285792.

The previous prime is 130762391. The next prime is 130762417. The reversal of 130762398 is 893267031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130762391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42103 + ... + 45101.

It is an arithmetic number, because the mean of its divisors is an integer number (6039000).

Almost surely, 2130762398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130762398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144936000).

130762398 is an abundant number, since it is smaller than the sum of its proper divisors (159109602).

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

130762398 is a wasteful number, since it uses less digits than its factorization.

130762398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 130762398 is about 11435.1387398667. The cubic root of 130762398 is about 507.5680680700.

The spelling of 130762398 in words is "one hundred thirty million, seven hundred sixty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1677 2999 3354 5998 7267 8997 14534 17994 21801 38987 43602 77974 116961 128957 233922 257914 386871 506831 773742 1013662 1520493 1676441 3040986 3352882 5029323 10058646 21793733 43587466 65381199 130762398