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132679560 = 233513175003
BaseRepresentation
bin1111110100010…
…00011110001000
3100020122211010210
413322020132020
5232431221220
621055441120
73200520606
oct772103610
9306584123
10132679560
1168992132
12385261a0
1321646320
141389a876
15b9ac6e0
hex7e88788

132679560 has 128 divisors (see below), whose sum is σ = 453962880. Its totient is φ = 30732288.

The previous prime is 132679549. The next prime is 132679619. The reversal of 132679560 is 65976231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24019 + ... + 29021.

It is an arithmetic number, because the mean of its divisors is an integer number (3546585).

Almost surely, 2132679560 is an apocalyptic number.

132679560 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 132679560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226981440).

132679560 is an abundant number, since it is smaller than the sum of its proper divisors (321283320).

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

132679560 is a wasteful number, since it uses less digits than its factorization.

132679560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 132679560 is about 11518.6613805598. The cubic root of 132679560 is about 510.0365986807.

The spelling of 132679560 in words is "one hundred thirty-two million, six hundred seventy-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5003 5304 6630 8840 10006 13260 15009 20012 25015 26520 30018 40024 50030 60036 65039 75045 85051 100060 120072 130078 150090 170102 195117 200120 255153 260156 300180 325195 340204 390234 425255 510306 520312 600360 650390 680408 780468 850510 975585 1020612 1105663 1275765 1300780 1560936 1701020 1951170 2041224 2211326 2551530 2601560 3316989 3402040 3902340 4422652 5103060 5528315 6633978 7804680 8845304 10206120 11056630 13267956 16584945 22113260 26535912 33169890 44226520 66339780 132679560