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132055080 = 23352334723
BaseRepresentation
bin1111101111100…
…00000000101000
3100012111002111220
413313300000220
5232301230310
621034222040
73162310143
oct767600050
9305432456
10132055080
11685a5a33
1238284920
1321488001
141377705a
15b8d7670
hex7df0028

132055080 has 64 divisors (see below), whose sum is σ = 397949760. Its totient is φ = 35056128.

The previous prime is 132055069. The next prime is 132055093. The reversal of 132055080 is 80550231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132055080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25599 + ... + 30321.

It is an arithmetic number, because the mean of its divisors is an integer number (6217965).

Almost surely, 2132055080 is an apocalyptic number.

132055080 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 132055080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198974880).

132055080 is an abundant number, since it is smaller than the sum of its proper divisors (265894680).

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

132055080 is a wasteful number, since it uses less digits than its factorization.

132055080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 132055080 is about 11491.5220923949. The cubic root of 132055080 is about 509.2351472483.

The spelling of 132055080 in words is "one hundred thirty-two million, fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4660 4723 5592 6990 9320 9446 13980 14169 18892 23615 27960 28338 37784 47230 56676 70845 94460 113352 141690 188920 283380 566760 1100459 2200918 3301377 4401836 5502295 6602754 8803672 11004590 13205508 16506885 22009180 26411016 33013770 44018360 66027540 132055080