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10166156 = 22711132539
BaseRepresentation
bin100110110001…
…111110001100
3201010111100022
4212301332030
510100304111
61001521312
7152260640
oct46617614
921114308
1010166156
115813a90
1234a3238
13214c3a0
1414c8c20
15d5c2db
hex9b1f8c

10166156 has 48 divisors (see below), whose sum is σ = 23896320. Its totient is φ = 3654720.

The previous prime is 10166141. The next prime is 10166173. The reversal of 10166156 is 65166101.

It is a super-3 number, since 3×101661563 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 2735 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (497840).

Almost surely, 210166156 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 10166156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948160).

10166156 is an abundant number, since it is smaller than the sum of its proper divisors (13730164).

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

10166156 is a wasteful number, since it uses less digits than its factorization.

10166156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10166156 is about 3188.4409983564. The cubic root of 10166156 is about 216.6301613711.

Subtracting 10166156 from its reverse (65166101), we obtain a palindrome (54999945).

The spelling of 10166156 in words is "ten million, one hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2539 4004 5078 10156 17773 27929 33007 35546 55858 66014 71092 111716 132028 195503 231049 363077 391006 462098 726154 782012 924196 1452308 2541539 5083078 10166156