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132214720 = 2651137561
BaseRepresentation
bin1111110000101…
…10111111000000
3100012210012111111
413320112333000
5232321332340
621041453104
73163543441
oct770267700
9305705444
10132214720
11686a4970
1238341194
1321512881
14137b92c8
15b919aea
hex7e16fc0

132214720 has 56 divisors (see below), whose sum is σ = 343466928. Its totient is φ = 48076800.

The previous prime is 132214717. The next prime is 132214759. The reversal of 132214720 is 27412231.

It is a super-3 number, since 3×1322147203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132214691 and 132214700.

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, 15261 + ... + 22300.

It is an arithmetic number, because the mean of its divisors is an integer number (6133338).

Almost surely, 2132214720 is an apocalyptic number.

132214720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214720 is an abundant number, since it is smaller than the sum of its proper divisors (211252208).

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

132214720 is a wasteful number, since it uses less digits than its factorization.

132214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37589 (or 37579 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 132214720 is about 11498.4659846433. The cubic root of 132214720 is about 509.4402676225.

Adding to 132214720 its reverse (27412231), we get a palindrome (159626951).

The spelling of 132214720 in words is "one hundred thirty-two million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 37561 75122 150244 187805 300488 375610 413171 600976 751220 826342 1201952 1502440 1652684 2065855 2403904 3004880 3305368 4131710 6009760 6610736 8263420 12019520 13221472 16526840 26442944 33053680 66107360 132214720