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10148814 = 234136179
BaseRepresentation
bin100110101101…
…101111001110
3201002121120000
4212231233032
510044230224
61001305130
7152156244
oct46555716
921077500
1010148814
115801a55
1234951a6
132144520
1414c2794
15d570c9
hex9adbce

10148814 has 80 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 3032640.

The previous prime is 10148797. The next prime is 10148821. The reversal of 10148814 is 41884101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128427 + ... + 128505.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 210148814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

10148814 is an abundant number, since it is smaller than the sum of its proper divisors (15057906).

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

10148814 is a wasteful number, since it uses less digits than its factorization.

10148814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10148814 is about 3185.7203267079. The cubic root of 10148814 is about 216.5069112960.

The spelling of 10148814 in words is "ten million, one hundred forty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 79 81 117 122 158 162 183 234 237 351 366 474 549 702 711 793 1027 1053 1098 1422 1586 1647 2054 2106 2133 2379 3081 3294 4266 4758 4819 4941 6162 6399 7137 9243 9638 9882 12798 14274 14457 18486 21411 27729 28914 42822 43371 55458 62647 64233 83187 86742 125294 128466 130113 166374 187941 260226 375882 390339 563823 780678 1127646 1691469 3382938 5074407 10148814