Search a number
-
+
166713372 = 223271934819
BaseRepresentation
bin10011110111111…
…01100000011100
3102121200220202100
421323331200130
5320134311442
624313125100
74063016550
oct1173754034
9377626670
10166713372
1186118251
12479b9790
1328701387
14181d9860
15e98184c
hex9efd81c

166713372 has 72 divisors (see below), whose sum is σ = 506979200. Its totient is φ = 45124128.

The previous prime is 166713311. The next prime is 166713377. The reversal of 166713372 is 273317661.

It is a super-2 number, since 2×1667133722 = 55586696807220768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166713377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12622 + ... + 22197.

Almost surely, 2166713372 is an apocalyptic number.

166713372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166713372 is an abundant number, since it is smaller than the sum of its proper divisors (340265828).

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

166713372 is a wasteful number, since it uses less digits than its factorization.

166713372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34855 (or 34850 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 166713372 is about 12911.7532504304. The cubic root of 166713372 is about 550.3726092189.

The spelling of 166713372 in words is "one hundred sixty-six million, seven hundred thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 34819 69638 104457 139276 208914 243733 313371 417828 487466 626742 661561 731199 974932 1253484 1323122 1462398 1984683 2193597 2646244 2924796 3969366 4387194 4630927 5954049 7938732 8774388 9261854 11908098 13892781 18523708 23816196 27785562 41678343 55571124 83356686 166713372