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10157166 = 23237101151
BaseRepresentation
bin100110101111…
…110001101110
3201010001000100
4212233301232
510100012131
61001411530
7152222505
oct46576156
921101010
1010157166
115808258
123499ba6
132148276
1414c583c
15d597e6
hex9afc6e

10157166 has 48 divisors (see below), whose sum is σ = 22976928. Its totient is φ = 3240000.

The previous prime is 10157141. The next prime is 10157197. The reversal of 10157166 is 66175101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67191 + ... + 67341.

It is an arithmetic number, because the mean of its divisors is an integer number (478686).

Almost surely, 210157166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488464).

10157166 is an abundant number, since it is smaller than the sum of its proper divisors (12819762).

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

10157166 is a wasteful number, since it uses less digits than its factorization.

10157166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10157166 is about 3187.0309066590. The cubic root of 10157166 is about 216.5662867038.

The spelling of 10157166 in words is "ten million, one hundred fifty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 101 111 151 202 222 302 303 333 453 606 666 906 909 1359 1818 2718 3737 5587 7474 11174 11211 15251 16761 22422 30502 33522 33633 45753 50283 67266 91506 100566 137259 274518 564287 1128574 1692861 3385722 5078583 10157166