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130425768 = 233311173229
BaseRepresentation
bin1111100011000…
…10001110101000
3100002102022112000
413301202032220
5231342111033
620535251000
73142413024
oct761421650
9302368460
10130425768
11676928a0
1237819a60
1321037515
1413471384
15b6b4a13
hex7c623a8

130425768 has 128 divisors (see below), whose sum is σ = 418608000. Its totient is φ = 37186560.

The previous prime is 130425767. The next prime is 130425769. The reversal of 130425768 is 867524031.

It is an interprime number because it is at equal distance from previous prime (130425767) and next prime (130425769).

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 (130425767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38778 + ... + 42006.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2130425768 is an apocalyptic number.

130425768 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 130425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209304000).

130425768 is an abundant number, since it is smaller than the sum of its proper divisors (288182232).

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

130425768 is a wasteful number, since it uses less digits than its factorization.

130425768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 130425768 is about 11420.4101502529. The cubic root of 130425768 is about 507.1321388011.

Adding to 130425768 its reverse (867524031), we get a palindrome (997949799).

It can be divided in two parts, 1304 and 25768, that added together give a palindrome (27072).

The spelling of 130425768 in words is "one hundred thirty million, four hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3229 3366 3672 4488 5049 6458 6732 9687 10098 12916 13464 19374 20196 25832 29061 35519 38748 40392 54893 58122 71038 77496 87183 106557 109786 116244 142076 164679 174366 213114 219572 232488 284152 319671 329358 348732 426228 439144 494037 603823 639342 658716 697464 852456 959013 988074 1207646 1278684 1317432 1482111 1811469 1918026 1976148 2415292 2557368 2964222 3622938 3836052 3952296 4830584 5434407 5928444 7245876 7672104 10868814 11856888 14491752 16303221 21737628 32606442 43475256 65212884 130425768