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103368096 = 2533139203
BaseRepresentation
bin1100010100101…
…00010110100000
321012111122101000
412022110112200
5202430234341
614131312000
72363420466
oct612242640
9235448330
10103368096
1153391a87
122a74b600
1318552870
14da2a836
15911c8b6
hex62945a0

103368096 has 96 divisors (see below), whose sum is σ = 324717120. Its totient is φ = 31802112.

The previous prime is 103368091. The next prime is 103368101. The reversal of 103368096 is 690863301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103368091) and next prime (103368101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103368096.

It is not an unprimeable number, because it can be changed into a prime (103368091) 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, 6631 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (3382470).

Almost surely, 2103368096 is an apocalyptic number.

103368096 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 103368096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358560).

103368096 is an abundant number, since it is smaller than the sum of its proper divisors (221349024).

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

103368096 is a wasteful number, since it uses less digits than its factorization.

103368096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 103368096 is about 10167.0101799890. The cubic root of 103368096 is about 469.3125546787.

The spelling of 103368096 in words is "one hundred three million, three hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 9203 11232 18406 27609 36812 55218 73624 82827 110436 119639 147248 165654 220872 239278 248481 294496 331308 358917 441744 478556 496962 662616 717834 883488 957112 993924 1076751 1325232 1435668 1914224 1987848 2153502 2650464 2871336 3230253 3828448 3975696 4307004 5742672 6460506 7951392 8614008 11485344 12921012 17228016 25842024 34456032 51684048 103368096