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10074636 = 2232111319103
BaseRepresentation
bin100110011011…
…101000001100
3200221211210200
4212123220030
510034342021
6555533500
7151430055
oct46335014
920854720
1010074636
115761250
12345a290
132119830
1414a372c
15d40126
hex99ba0c

10074636 has 144 divisors (see below), whose sum is σ = 31799040. Its totient is φ = 2643840.

The previous prime is 10074613. The next prime is 10074653. The reversal of 10074636 is 63647001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97761 + ... + 97863.

Almost surely, 210074636 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 10074636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899520).

10074636 is an abundant number, since it is smaller than the sum of its proper divisors (21724404).

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

10074636 is a wasteful number, since it uses less digits than its factorization.

10074636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10074636 is about 3174.0567102684. The cubic root of 10074636 is about 215.9781356470.

The spelling of 10074636 in words is "ten million, seventy-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 103 114 117 132 143 156 171 198 206 209 228 234 247 286 309 342 396 412 418 429 468 494 572 618 627 684 741 836 858 927 988 1133 1236 1254 1287 1339 1482 1716 1854 1881 1957 2223 2266 2508 2574 2678 2717 2964 3399 3708 3762 3914 4017 4446 4532 5148 5356 5434 5871 6798 7524 7828 8034 8151 8892 10197 10868 11742 12051 13596 14729 16068 16302 17613 20394 21527 23484 24102 24453 25441 29458 32604 35226 40788 43054 44187 48204 48906 50882 58916 64581 70452 76323 86108 88374 97812 101764 129162 132561 152646 176748 193743 228969 258324 265122 279851 305292 387486 457938 530244 559702 774972 839553 915876 1119404 1679106 2518659 3358212 5037318 10074636