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132351408 = 243671621
BaseRepresentation
bin1111110001110…
…00010110110000
3100020001011000000
413320320112300
5232340221113
621044430000
73164653110
oct770702660
9306034000
10132351408
1168788632
12383a8300
132155cb57
1413813040
15b945373
hex7e385b0

132351408 has 140 divisors (see below), whose sum is σ = 439665808. Its totient is φ = 37791360.

The previous prime is 132351391. The next prime is 132351413. The reversal of 132351408 is 804153231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80838 + ... + 82458.

Almost surely, 2132351408 is an apocalyptic number.

132351408 is a gapful number since it is divisible by the number (18) 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 132351408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219832904).

132351408 is an abundant number, since it is smaller than the sum of its proper divisors (307314400).

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

132351408 is an equidigital number, since it uses as much as digits as its factorization.

132351408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132351408 is about 11504.4081985994. The cubic root of 132351408 is about 509.6157659541.

The spelling of 132351408 in words is "one hundred thirty-two million, three hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1621 1701 1944 2268 2916 3024 3242 3402 3888 4536 4863 5103 5832 6484 6804 9072 9726 10206 11347 11664 12968 13608 14589 19452 20412 22694 25936 27216 29178 34041 38904 40824 43767 45388 58356 68082 77808 81648 87534 90776 102123 116712 131301 136164 175068 181552 204246 233424 262602 272328 306369 350136 393903 408492 525204 544656 612738 700272 787806 816984 919107 1050408 1181709 1225476 1575612 1633968 1838214 2100816 2363418 2450952 2757321 3151224 3676428 4726836 4901904 5514642 6302448 7352856 8271963 9453672 11029284 14705712 16543926 18907344 22058568 33087852 44117136 66175704 132351408