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103315392 = 2633173517
BaseRepresentation
bin1100010100001…
…11011111000000
321012101222002000
412022013133000
5202422043032
614130224000
72363111025
oct612073700
9235358060
10103315392
1153356424
122a725000
131853488b
14da1554c
15910be7c
hex62877c0

103315392 has 112 divisors (see below), whose sum is σ = 321685920. Its totient is φ = 32403456.

The previous prime is 103315363. The next prime is 103315397. The reversal of 103315392 is 293513301.

It is a happy number.

It is a super-2 number, since 2×1033153922 = 21348140448227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103315397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27618 + ... + 31134.

Almost surely, 2103315392 is an apocalyptic number.

103315392 is a gapful number since it is divisible by the number (12) 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 103315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160842960).

103315392 is an abundant number, since it is smaller than the sum of its proper divisors (218370528).

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

103315392 is a wasteful number, since it uses less digits than its factorization.

103315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103315392 is about 10164.4179370980. The cubic root of 103315392 is about 469.2327787619.

Adding to 103315392 its reverse (293513301), we get a palindrome (396828693).

The spelling of 103315392 in words is "one hundred three million, three hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3517 3672 4896 7034 7344 9792 10551 14068 14688 21102 28136 29376 31653 42204 56272 59789 63306 84408 94959 112544 119578 126612 168816 179367 189918 225088 239156 253224 337632 358734 379836 478312 506448 538101 675264 717468 759672 956624 1012896 1076202 1434936 1519344 1614303 1913248 2025792 2152404 2869872 3038688 3228606 3826496 4304808 5739744 6077376 6457212 8609616 11479488 12914424 17219232 25828848 34438464 51657696 103315392