Search a number
-
+
103168512 = 293317439
BaseRepresentation
bin1100010011000…
…11101000000000
321012010111121000
412021203220000
5202402343022
614123132000
72361626556
oct611435000
9235114530
10103168512
1153266037
122a674000
13184b2a75
14d9b7bd6
1590cd6ac
hex6263a00

103168512 has 160 divisors (see below), whose sum is σ = 324086400. Its totient is φ = 32292864.

The previous prime is 103168511. The next prime is 103168517. The reversal of 103168512 is 215861301.

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

It is not an unprimeable number, because it can be changed into a prime (103168511) 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, 234789 + ... + 235227.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2103168512 is an apocalyptic number.

103168512 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 103168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

103168512 is an abundant number, since it is smaller than the sum of its proper divisors (220917888).

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

103168512 is an equidigital number, since it uses as much as digits as its factorization.

103168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 103168512 is about 10157.1901626385. The cubic root of 103168512 is about 469.0103091767.

The spelling of 103168512 in words is "one hundred three million, one hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 439 459 512 544 576 612 768 816 864 878 918 1088 1152 1224 1317 1536 1632 1728 1756 1836 2176 2304 2448 2634 3264 3456 3512 3672 3951 4352 4608 4896 5268 6528 6912 7024 7344 7463 7902 8704 9792 10536 11853 13056 13824 14048 14688 14926 15804 19584 21072 22389 23706 26112 28096 29376 29852 31608 39168 42144 44778 47412 56192 58752 59704 63216 67167 78336 84288 89556 94824 112384 117504 119408 126432 134334 168576 179112 189648 201501 224768 235008 238816 252864 268668 337152 358224 379296 403002 477632 505728 537336 674304 716448 758592 806004 955264 1011456 1074672 1432896 1517184 1612008 1910528 2022912 2149344 2865792 3034368 3224016 3821056 4298688 5731584 6068736 6448032 8597376 11463168 12896064 17194752 25792128 34389504 51584256 103168512