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132678020 = 22559229491
BaseRepresentation
bin1111110100010…
…00000110000100
3100020122202000202
413322020012010
5232431144040
621055430032
73200513246
oct772100604
9306582022
10132678020
1168990a62
1238525318
1321645707
141389a096
15b9ac015
hex7e88184

132678020 has 48 divisors (see below), whose sum is σ = 285163200. Its totient is φ = 51838080.

The previous prime is 132678019. The next prime is 132678071. The reversal of 132678020 is 20876231.

It is a happy number.

It is a super-2 number, since 2×1326780202 = 35206913982240800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 269975 + ... + 270465.

It is an arithmetic number, because the mean of its divisors is an integer number (5940900).

Almost surely, 2132678020 is an apocalyptic number.

132678020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132678020 is an abundant number, since it is smaller than the sum of its proper divisors (152485180).

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

132678020 is a wasteful number, since it uses less digits than its factorization.

132678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 132678020 is about 11518.5945323203. The cubic root of 132678020 is about 510.0346253564.

The spelling of 132678020 in words is "one hundred thirty-two million, six hundred seventy-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 229 236 295 458 491 590 916 982 1145 1180 1964 2290 2455 4580 4910 9820 13511 27022 28969 54044 57938 67555 112439 115876 135110 144845 224878 270220 289690 449756 562195 579380 1124390 2248780 6633901 13267802 26535604 33169505 66339010 132678020