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10165148 = 227331239
BaseRepresentation
bin100110110001…
…101110011100
3201010102221222
4212301232130
510100241043
61001512512
7152255000
oct46615634
921112858
1010165148
115813254
1234a2738
13214baa6
1414c8700
15d5bd68
hex9b1b9c

10165148 has 48 divisors (see below), whose sum is σ = 21504000. Its totient is φ = 4198320.

The previous prime is 10165147. The next prime is 10165153. The reversal of 10165148 is 84156101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42413 + ... + 42651.

It is an arithmetic number, because the mean of its divisors is an integer number (448000).

Almost surely, 210165148 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 10165148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000).

10165148 is an abundant number, since it is smaller than the sum of its proper divisors (11338852).

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

10165148 is a wasteful number, since it uses less digits than its factorization.

10165148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 10165148 is about 3188.2829234558. The cubic root of 10165148 is about 216.6230013255.

The spelling of 10165148 in words is "ten million, one hundred sixty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 239 343 434 478 686 868 956 1372 1519 1673 3038 3346 6076 6692 7409 10633 11711 14818 21266 23422 29636 42532 46844 51863 81977 103726 163954 207452 327908 363041 726082 1452164 2541287 5082574 10165148