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132276320 = 25511174421
BaseRepresentation
bin1111110001001…
…10000001100000
3100012220022222222
413320212001200
5232330320240
621043050212
73164221151
oct770460140
9305808888
10132276320
1168737180
1238370968
1321534917
14137d3928
15b92ceb5
hex7e26060

132276320 has 96 divisors (see below), whose sum is σ = 361047456. Its totient is φ = 45260800.

The previous prime is 132276317. The next prime is 132276343. The reversal of 132276320 is 23672231.

It is a self number, because there is not a number n which added to its sum of digits gives 132276320.

It is a congruent number.

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, 27710 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (3760911).

Almost surely, 2132276320 is an apocalyptic number.

132276320 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 132276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180523728).

132276320 is an abundant number, since it is smaller than the sum of its proper divisors (228771136).

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

132276320 is a wasteful number, since it uses less digits than its factorization.

132276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 132276320 is about 11501.1442908956. The cubic root of 132276320 is about 509.5193729045.

The spelling of 132276320 in words is "one hundred thirty-two million, two hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 4421 5984 7480 8842 14960 17684 22105 29920 35368 44210 48631 70736 75157 88420 97262 141472 150314 176840 194524 243155 300628 353680 375785 389048 486310 601256 707360 751570 778096 826727 972620 1202512 1503140 1556192 1653454 1945240 2405024 3006280 3306908 3890480 4133635 6012560 6613816 7780960 8267270 12025120 13227632 16534540 26455264 33069080 66138160 132276320