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103168296 = 23337116203
BaseRepresentation
bin1100010011000…
…11100100101000
321012010111022000
412021203210220
5202402341141
614123131000
72361626130
oct611434450
9235114260
10103168296
1153265960
122a673a60
13184b293a
14d9b7ac0
1590cd5b6
hex6263928

103168296 has 128 divisors (see below), whose sum is σ = 357350400. Its totient is φ = 26792640.

The previous prime is 103168267. The next prime is 103168297. The reversal of 103168296 is 692861301.

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 103168296.

It is not an unprimeable number, because it can be changed into a prime (103168297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13531 + ... + 19733.

It is an arithmetic number, because the mean of its divisors is an integer number (2791800).

Almost surely, 2103168296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103168296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178675200).

103168296 is an abundant number, since it is smaller than the sum of its proper divisors (254182104).

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

103168296 is a wasteful number, since it uses less digits than its factorization.

103168296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103168296 is about 10157.1795297710. The cubic root of 103168296 is about 469.0099818601.

The spelling of 103168296 in words is "one hundred three million, one hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 6203 8316 12406 16632 18609 24812 37218 43421 49624 55827 68233 74436 86842 111654 130263 136466 148872 167481 173684 204699 223308 260526 272932 334962 347368 390789 409398 446616 477631 521052 545864 614097 669924 781578 818796 955262 1042104 1172367 1228194 1339848 1432893 1563156 1637592 1842291 1910524 2344734 2456388 2865786 3126312 3684582 3821048 4298679 4689468 4912776 5731572 7369164 8597358 9378936 11463144 12896037 14738328 17194716 25792074 34389432 51584148 103168296