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130376820 = 22357535857
BaseRepresentation
bin1111100010101…
…10010001110100
3100002022211101010
413301112101310
5231334024240
620534232220
73142120230
oct761262164
9302284333
10130376820
116765a042
12377b5670
132101b162
141345b5c0
15b6a5280
hex7c56474

130376820 has 96 divisors (see below), whose sum is σ = 425150208. Its totient is φ = 29233152.

The previous prime is 130376819. The next prime is 130376821. The reversal of 130376820 is 28673031.

It is an interprime number because it is at equal distance from previous prime (130376819) and next prime (130376821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130376821) 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, 19332 + ... + 25188.

It is an arithmetic number, because the mean of its divisors is an integer number (4428648).

Almost surely, 2130376820 is an apocalyptic number.

130376820 is a gapful number since it is divisible by the number (10) 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 130376820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212575104).

130376820 is an abundant number, since it is smaller than the sum of its proper divisors (294773388).

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

130376820 is a wasteful number, since it uses less digits than its factorization.

130376820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 130376820 is about 11418.2669438054. The cubic root of 130376820 is about 507.0686896573.

The spelling of 130376820 in words is "one hundred thirty million, three hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 5857 7420 11130 11714 17571 22260 23428 29285 35142 40999 58570 70284 81998 87855 117140 122997 163996 175710 204995 245994 310421 351420 409990 491988 614985 620842 819980 931263 1229970 1241684 1552105 1862526 2172947 2459940 3104210 3725052 4345894 4656315 6208420 6518841 8691788 9312630 10864735 13037682 18625260 21729470 26075364 32594205 43458940 65188410 130376820