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10842312 = 23313193159
BaseRepresentation
bin101001010111…
…000011001000
3202101211212010
4221113003020
510233423222
61024215520
7161105145
oct51270310
922354763
1010842312
116135a98
12376a5a0
132328090
1416233cc
15e4280c
hexa570c8

10842312 has 128 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 3006720.

The previous prime is 10842257. The next prime is 10842329. The reversal of 10842312 is 21324801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183739 + ... + 183797.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 210842312 is an apocalyptic number.

10842312 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 10842312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

10842312 is an abundant number, since it is smaller than the sum of its proper divisors (21413688).

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

10842312 is a wasteful number, since it uses less digits than its factorization.

10842312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10842312 is about 3292.7666179066. The cubic root of 10842312 is about 221.3301780973.

The spelling of 10842312 in words is "ten million, eight hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 59 62 76 78 93 104 114 118 124 152 156 177 186 228 236 247 248 312 354 372 403 456 472 494 589 708 741 744 767 806 988 1121 1178 1209 1416 1482 1534 1612 1767 1829 1976 2242 2301 2356 2418 2964 3068 3224 3363 3534 3658 4484 4602 4712 4836 5487 5928 6136 6726 7068 7316 7657 8968 9204 9672 10974 13452 14136 14573 14632 15314 18408 21948 22971 23777 26904 29146 30628 34751 43719 43896 45942 47554 58292 61256 69502 71331 87438 91884 95108 104253 116584 139004 142662 174876 183768 190216 208506 278008 285324 349752 417012 451763 570648 834024 903526 1355289 1807052 2710578 3614104 5421156 10842312