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10166632 = 237712557
BaseRepresentation
bin100110110010…
…000101101000
3201010111222221
4212302011220
510100313012
61001523424
7152262220
oct46620550
921114887
1010166632
115814383
1234a3574
13214c678
1414c9080
15d5c507
hex9b2168

10166632 has 32 divisors (see below), whose sum is σ = 22101120. Its totient is φ = 4294080.

The previous prime is 10166627. The next prime is 10166657. The reversal of 10166632 is 23666101.

It is a junction number, because it is equal to n+sod(n) for n = 10166597 and 10166606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2698 + ... + 5254.

It is an arithmetic number, because the mean of its divisors is an integer number (690660).

Almost surely, 210166632 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 10166632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050560).

10166632 is an abundant number, since it is smaller than the sum of its proper divisors (11934488).

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

10166632 is a wasteful number, since it uses less digits than its factorization.

10166632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 10166632 is about 3188.5156421131. The cubic root of 10166632 is about 216.6335423392.

The spelling of 10166632 in words is "ten million, one hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 2557 3976 5114 10228 17899 20456 35798 71596 143192 181547 363094 726188 1270829 1452376 2541658 5083316 10166632