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10077912 = 2333133797
BaseRepresentation
bin100110011100…
…011011011000
3200222000022000
4212130123120
510034443122
61000001000
7151442445
oct46343330
920860260
1010077912
115763759
123460160
13211b180
1414a49cc
15d410ac
hex99c6d8

10077912 has 128 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 2985984.

The previous prime is 10077911. The next prime is 10077919. The reversal of 10077912 is 21977001.

10077912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077911) 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, 103848 + ... + 103944.

Almost surely, 210077912 is an apocalyptic number.

10077912 is a gapful number since it is divisible by the number (12) 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 10077912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

10077912 is an abundant number, since it is smaller than the sum of its proper divisors (21203688).

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

10077912 is a wasteful number, since it uses less digits than its factorization.

10077912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10077912 is about 3174.5727271556. The cubic root of 10077912 is about 216.0015431989.

The spelling of 10077912 in words is "ten million, seventy-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 97 104 108 111 117 148 156 194 216 222 234 291 296 312 333 351 388 444 468 481 582 666 702 776 873 888 936 962 999 1164 1261 1332 1404 1443 1746 1924 1998 2328 2522 2619 2664 2808 2886 3492 3589 3783 3848 3996 4329 5044 5238 5772 6984 7178 7566 7992 8658 10088 10476 10767 11349 11544 12987 14356 15132 17316 20952 21534 22698 25974 28712 30264 32301 34047 34632 43068 45396 46657 51948 64602 68094 86136 90792 93314 96903 103896 129204 136188 139971 186628 193806 258408 272376 279942 373256 387612 419913 559884 775224 839826 1119768 1259739 1679652 2519478 3359304 5038956 10077912