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132212720 = 2451938563
BaseRepresentation
bin1111110000101…
…10011111110000
3100012210002202102
413320112133300
5232321301340
621041435532
73163534553
oct770263760
9305702672
10132212720
11686a3412
123833bba8
13215119a3
14137b869a
15b919215
hex7e167f0

132212720 has 40 divisors (see below), whose sum is σ = 309023376. Its totient is φ = 52604928.

The previous prime is 132212713. The next prime is 132212747. The reversal of 132212720 is 27212231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1322127203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132212692 and 132212701.

It is a congruent number.

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, 11159 + ... + 19721.

Almost surely, 2132212720 is an apocalyptic number.

132212720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212720 is an abundant number, since it is smaller than the sum of its proper divisors (176810656).

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

132212720 is a wasteful number, since it uses less digits than its factorization.

132212720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 132212720 is about 11498.3790161918. The cubic root of 132212720 is about 509.4376988574.

Adding to 132212720 its reverse (27212231), we get a palindrome (159424951).

The spelling of 132212720 in words is "one hundred thirty-two million, two hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 8563 15440 17126 34252 42815 68504 85630 137008 171260 342520 685040 1652659 3305318 6610636 8263295 13221272 16526590 26442544 33053180 66106360 132212720