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10010364 = 22371389103
BaseRepresentation
bin100110001011…
…111011111100
3200211120122020
4212023323330
510030312424
6554320140
7151041510
oct46137374
920746566
1010010364
115717a31
123429050
1320c64c0
141488140
15d2b079
hex98befc

10010364 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 2585088.

The previous prime is 10010347. The next prime is 10010369. The reversal of 10010364 is 46301001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97137 + ... + 97239.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 210010364 is an apocalyptic number.

10010364 is a gapful number since it is divisible by the number (14) 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 10010364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10010364 is an abundant number, since it is smaller than the sum of its proper divisors (19342596).

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

10010364 is a wasteful number, since it uses less digits than its factorization.

10010364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10010364 is about 3163.9159280866. The cubic root of 10010364 is about 215.5178718425.

Adding to 10010364 its reverse (46301001), we get a palindrome (56311365).

The spelling of 10010364 in words is "ten million, ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 103 156 178 182 206 267 273 309 356 364 412 534 546 618 623 721 1068 1092 1157 1236 1246 1339 1442 1869 2163 2314 2492 2678 2884 3471 3738 4017 4326 4628 5356 6942 7476 8034 8099 8652 9167 9373 13884 16068 16198 18334 18746 24297 27501 28119 32396 36668 37492 48594 55002 56238 64169 97188 110004 112476 119171 128338 192507 238342 256676 357513 385014 476684 715026 770028 834197 1430052 1668394 2502591 3336788 5005182 10010364