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130681628 = 2274111237
BaseRepresentation
bin1111100101000…
…00101100011100
3100002220022111022
413302200230130
5231423303003
620544543312
73144530000
oct762405434
9302808438
10130681628
1167848050
1237921b38
13210c6b0c
14134da700
15b715738
hex7ca0b1c

130681628 has 60 divisors (see below), whose sum is σ = 291281592. Its totient is φ = 50873760.

The previous prime is 130681597. The next prime is 130681657. The reversal of 130681628 is 826186031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105026 + ... + 106262.

Almost surely, 2130681628 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 130681628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145640796).

130681628 is an abundant number, since it is smaller than the sum of its proper divisors (160599964).

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

130681628 is a wasteful number, since it uses less digits than its factorization.

130681628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 130681628 is about 11431.6065362660. The cubic root of 130681628 is about 507.4635407815.

The spelling of 130681628 in words is "one hundred thirty million, six hundred eighty-one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1237 1372 2156 2401 2474 3773 4802 4948 7546 8659 9604 13607 15092 17318 26411 27214 34636 52822 54428 60613 95249 105644 121226 190498 242452 380996 424291 666743 848582 1333486 1697164 2666972 2970037 4667201 5940074 9334402 11880148 18668804 32670407 65340814 130681628