Search a number
-
+
10166520 = 2335731319
BaseRepresentation
bin100110110010…
…000011111000
3201010111211210
4212302003320
510100312040
61001523120
7152262000
oct46620370
921114753
1010166520
115814291
1234a34a0
13214c5c0
1414c9000
15d5c480
hex9b20f8

10166520 has 256 divisors, whose sum is σ = 40320000. Its totient is φ = 2032128.

The previous prime is 10166479. The next prime is 10166531. The reversal of 10166520 is 2566101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535071 + ... + 535089.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 210166520 is an apocalyptic number.

10166520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

10166520 is an abundant number, since it is smaller than the sum of its proper divisors (30153480).

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

10166520 is a wasteful number, since it uses less digits than its factorization.

10166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10166520 is about 3188.4980790334. The cubic root of 10166520 is about 216.6327468268.

The spelling of 10166520 in words is "ten million, one hundred sixty-six thousand, five hundred twenty".