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132442380 = 223257257409
BaseRepresentation
bin1111110010011…
…10100100001100
3100020012202210100
413321032210030
5232401124010
621050411100
73165512250
oct771164414
9306182710
10132442380
116883aa14
1238430a90
1321592395
1413838260
15b9622c0
hex7e4e90c

132442380 has 144 divisors (see below), whose sum is σ = 462047040. Its totient is φ = 30081024.

The previous prime is 132442363. The next prime is 132442417. The reversal of 132442380 is 83244231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323616 + ... + 324024.

It is an arithmetic number, because the mean of its divisors is an integer number (3208660).

Almost surely, 2132442380 is an apocalyptic number.

132442380 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 132442380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231023520).

132442380 is an abundant number, since it is smaller than the sum of its proper divisors (329604660).

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

132442380 is a wasteful number, since it uses less digits than its factorization.

132442380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 132442380 is about 11508.3613081967. The cubic root of 132442380 is about 509.7325010110.

The spelling of 132442380 in words is "one hundred thirty-two million, four hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 257 315 409 420 514 630 771 818 1028 1227 1260 1285 1542 1636 1799 2045 2313 2454 2570 2863 3084 3598 3681 3855 4090 4626 4908 5140 5397 5726 6135 7196 7362 7710 8180 8589 8995 9252 10794 11452 11565 12270 14315 14724 15420 16191 17178 17990 18405 21588 23130 24540 25767 26985 28630 32382 34356 35980 36810 42945 46260 51534 53970 57260 64764 73620 80955 85890 103068 105113 107940 128835 161910 171780 210226 257670 315339 323820 420452 515340 525565 630678 735791 946017 1051130 1261356 1471582 1576695 1892034 2102260 2207373 2943164 3153390 3678955 3784068 4414746 4730085 6306780 6622119 7357910 8829492 9460170 11036865 13244238 14715820 18920340 22073730 26488476 33110595 44147460 66221190 132442380