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130267456 = 26113147127
BaseRepresentation
bin1111100001110…
…11100101000000
3100002010021100121
413300323211000
5231322024311
620532030024
73141153334
oct760734500
9302107317
10130267456
1167594960
1237762314
1320cb0447
141342d7c4
15b682b71
hex7c3b940

130267456 has 112 divisors (see below), whose sum is σ = 299630592. Its totient is φ = 55641600.

The previous prime is 130267451. The next prime is 130267517. The reversal of 130267456 is 654762031.

It is a happy number.

It is a super-2 number, since 2×1302674562 = 33939220185423872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130267451) 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 15 ways as a sum of consecutive naturals, for example, 1025665 + ... + 1025791.

Almost surely, 2130267456 is an apocalyptic number.

130267456 is a gapful number since it is divisible by the number (16) 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 130267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

130267456 is an abundant number, since it is smaller than the sum of its proper divisors (169363136).

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

130267456 is a wasteful number, since it uses less digits than its factorization.

130267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 130267456 is about 11413.4769461370. The cubic root of 130267456 is about 506.9268685034.

The spelling of 130267456 in words is "one hundred thirty million, two hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 47 62 64 88 94 124 127 176 188 248 254 341 352 376 496 508 517 682 704 752 992 1016 1034 1364 1397 1457 1504 1984 2032 2068 2728 2794 2914 3008 3937 4064 4136 5456 5588 5828 5969 7874 8128 8272 10912 11176 11656 11938 15748 16027 16544 21824 22352 23312 23876 31496 32054 33088 43307 44704 46624 47752 62992 64108 65659 86614 89408 93248 95504 125984 128216 131318 173228 185039 191008 251968 256432 262636 346456 370078 382016 512864 525272 692912 740156 1025728 1050544 1385824 1480312 2035429 2101088 2771648 2960624 4070858 4202176 5921248 8141716 11842496 16283432 32566864 65133728 130267456