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10097208 = 23321121961
BaseRepresentation
bin100110100001…
…001000111000
3200222222202200
4212201020320
510041102313
61000230200
7151552632
oct46411070
920888680
1010097208
115777200
12346b360
132126ba4
1414aba52
15d46b73
hex9a1238

10097208 has 144 divisors (see below), whose sum is σ = 32159400. Its totient is φ = 2851200.

The previous prime is 10097203. The next prime is 10097221. The reversal of 10097208 is 80279001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165498 + ... + 165558.

Almost surely, 210097208 is an apocalyptic number.

10097208 is a gapful number since it is divisible by the number (18) 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 10097208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079700).

10097208 is an abundant number, since it is smaller than the sum of its proper divisors (22062192).

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

10097208 is a wasteful number, since it uses less digits than its factorization.

10097208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10097208 is about 3177.6104229436. The cubic root of 10097208 is about 216.1393134200.

The spelling of 10097208 in words is "ten million, ninety-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 61 66 72 76 88 99 114 121 122 132 152 171 183 198 209 228 242 244 264 342 363 366 396 418 456 484 488 549 627 671 684 726 732 792 836 968 1089 1098 1159 1254 1342 1368 1452 1464 1672 1881 2013 2178 2196 2299 2318 2508 2684 2904 3477 3762 4026 4356 4392 4598 4636 5016 5368 6039 6897 6954 7381 7524 8052 8712 9196 9272 10431 12078 12749 13794 13908 14762 15048 16104 18392 20691 20862 22143 24156 25498 27588 27816 29524 38247 41382 41724 44286 48312 50996 55176 59048 66429 76494 82764 83448 88572 101992 114741 132858 140239 152988 165528 177144 229482 265716 280478 305976 420717 458964 531432 560956 841434 917928 1121912 1262151 1682868 2524302 3365736 5048604 10097208