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130157568 = 2103229487
BaseRepresentation
bin1111100001000…
…00110000000000
3100001220200121200
413300200300000
5231310020233
620525421200
73140215062
oct760406000
9301820550
10130157568
116751a342
123770a800
1320c72418
1413401732
15b660313
hex7c20c00

130157568 has 132 divisors (see below), whose sum is σ = 389585040. Its totient is φ = 41803776.

The previous prime is 130157563. The next prime is 130157569. The reversal of 130157568 is 865751031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130157563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267021 + ... + 267507.

Almost surely, 2130157568 is an apocalyptic number.

130157568 is a gapful number since it is divisible by the number (18) 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 130157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194792520).

130157568 is an abundant number, since it is smaller than the sum of its proper divisors (259427472).

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

130157568 is a wasteful number, since it uses less digits than its factorization.

130157568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 130157568 is about 11408.6619723787. The cubic root of 130157568 is about 506.7842878664.

The spelling of 130157568 in words is "one hundred thirty million, one hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 487 512 522 576 696 768 928 974 1024 1044 1152 1392 1461 1536 1856 1948 2088 2304 2784 2922 3072 3712 3896 4176 4383 4608 5568 5844 7424 7792 8352 8766 9216 11136 11688 14123 14848 15584 16704 17532 22272 23376 28246 29696 31168 33408 35064 42369 44544 46752 56492 62336 66816 70128 84738 89088 93504 112984 124672 127107 133632 140256 169476 187008 225968 249344 254214 267264 280512 338952 374016 451936 498688 508428 561024 677904 748032 903872 1016856 1122048 1355808 1496064 1807744 2033712 2244096 2711616 3615488 4067424 4488192 5423232 7230976 8134848 10846464 14461952 16269696 21692928 32539392 43385856 65078784 130157568