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10685142 = 2331331491
BaseRepresentation
bin101000110000…
…101011010110
3202002212021000
4220300223112
510213411032
61021004130
7156552006
oct50605326
922085230
1010685142
1160389a6
1236b3646
1322a1690
1415c2006
15e10e7c
hexa30ad6

10685142 has 64 divisors (see below), whose sum is σ = 26449920. Its totient is φ = 3175200.

The previous prime is 10685131. The next prime is 10685149. The reversal of 10685142 is 24158601.

It is a super-2 number, since 2×106851422 = 228344519120328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (10685149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21517 + ... + 22007.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 210685142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224960).

10685142 is an abundant number, since it is smaller than the sum of its proper divisors (15764778).

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

10685142 is a wasteful number, since it uses less digits than its factorization.

10685142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10685142 is about 3268.8135462274. The cubic root of 10685142 is about 220.2555020500.

The spelling of 10685142 in words is "ten million, six hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 491 558 702 806 837 982 1209 1473 1674 2418 2946 3627 4419 6383 7254 8838 10881 12766 13257 15221 19149 21762 26514 30442 38298 45663 57447 91326 114894 136989 172341 197873 273978 344682 395746 410967 593619 821934 1187238 1780857 3561714 5342571 10685142