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132874380 = 2232517173251
BaseRepresentation
bin1111110101110…
…00000010001100
3100021000201101100
413322320002030
5233003440010
621103543100
73202261602
oct772700214
9307021340
10132874380
1169005541
12385baa90
13216b3bc2
141390b872
15b9ea2c0
hex7eb808c

132874380 has 144 divisors (see below), whose sum is σ = 430938144. Its totient is φ = 33024000.

The previous prime is 132874367. The next prime is 132874387. The reversal of 132874380 is 83478231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132874387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529255 + ... + 529505.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626).

Almost surely, 2132874380 is an apocalyptic number.

132874380 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 132874380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215469072).

132874380 is an abundant number, since it is smaller than the sum of its proper divisors (298063764).

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

132874380 is a wasteful number, since it uses less digits than its factorization.

132874380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 132874380 is about 11527.1149903174. The cubic root of 132874380 is about 510.2861139676.

The spelling of 132874380 in words is "one hundred thirty-two million, eight hundred seventy-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 173 180 204 251 255 306 340 346 502 510 519 612 692 753 765 865 1004 1020 1038 1255 1506 1530 1557 1730 2076 2259 2510 2595 2941 3012 3060 3114 3460 3765 4267 4518 5020 5190 5882 6228 7530 7785 8534 8823 9036 10380 11295 11764 12801 14705 15060 15570 17068 17646 21335 22590 25602 26469 29410 31140 35292 38403 42670 43423 44115 45180 51204 52938 58820 64005 76806 85340 86846 88230 105876 128010 130269 132345 153612 173692 176460 192015 217115 256020 260538 264690 384030 390807 434230 521076 529380 651345 738191 768060 781614 868460 1302690 1476382 1563228 1954035 2214573 2605380 2952764 3690955 3908070 4429146 6643719 7381910 7816140 8858292 11072865 13287438 14763820 22145730 26574876 33218595 44291460 66437190 132874380