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132280280 = 235111915823
BaseRepresentation
bin1111110001001…
…10111111011000
3100012220112102122
413320212333120
5232330432110
621043120412
73164235536
oct770467730
9305815378
10132280280
116873a150
1238373108
1321536672
14137d5156
15b92e255
hex7e26fd8

132280280 has 64 divisors (see below), whose sum is σ = 341798400. Its totient is φ = 45567360.

The previous prime is 132280277. The next prime is 132280283. The reversal of 132280280 is 82082231.

It is an interprime number because it is at equal distance from previous prime (132280277) and next prime (132280283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132280283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449 + ... + 16271.

It is an arithmetic number, because the mean of its divisors is an integer number (5340600).

Almost surely, 2132280280 is an apocalyptic number.

132280280 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 132280280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170899200).

132280280 is an abundant number, since it is smaller than the sum of its proper divisors (209518120).

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

132280280 is a wasteful number, since it uses less digits than its factorization.

132280280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 15860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 132280280 is about 11501.3164463900. The cubic root of 132280280 is about 509.5244574038.

The spelling of 132280280 in words is "one hundred thirty-two million, two hundred eighty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 15823 31646 63292 79115 126584 158230 174053 300637 316460 348106 601274 632920 696212 870265 1202548 1392424 1503185 1740530 2405096 3006370 3307007 3481060 6012740 6614014 6962120 12025480 13228028 16535035 26456056 33070070 66140140 132280280