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103143936 = 293753181
BaseRepresentation
bin1100010010111…
…01101000000000
321012002020212210
412021131220000
5202401101221
614122422120
72361465120
oct611355000
9235066783
10103143936
1153249625
122a661940
13184a481c
14d9acc80
1590c6276
hex625da00

103143936 has 160 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 28753920.

The previous prime is 103143919. The next prime is 103143941. The reversal of 103143936 is 639341301.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569766 + ... + 569946.

Almost surely, 2103143936 is an apocalyptic number.

103143936 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 103143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

103143936 is an abundant number, since it is smaller than the sum of its proper divisors (218585472).

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

103143936 is an equidigital number, since it uses as much as digits as its factorization.

103143936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 103143936 is about 10155.9803071885. The cubic root of 103143936 is about 468.9730648907.

The spelling of 103143936 in words is "one hundred three million, one hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 181 192 212 224 256 318 336 362 371 384 424 448 512 543 636 672 724 742 768 848 896 1086 1113 1267 1272 1344 1448 1484 1536 1696 1792 2172 2226 2534 2544 2688 2896 2968 3392 3584 3801 4344 4452 5068 5088 5376 5792 5936 6784 7602 8688 8904 9593 10136 10176 10752 11584 11872 13568 15204 17376 17808 19186 20272 20352 23168 23744 27136 28779 30408 34752 35616 38372 40544 40704 46336 47488 57558 60816 67151 69504 71232 76744 81088 81408 92672 94976 115116 121632 134302 139008 142464 153488 162176 189952 201453 230232 243264 268604 278016 284928 306976 324352 402906 460464 486528 537208 569856 613952 648704 805812 920928 973056 1074416 1227904 1611624 1841856 1946112 2148832 2455808 3223248 3683712 4297664 4911616 6446496 7367424 8595328 12892992 14734848 17190656 25785984 34381312 51571968 103143936