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132379380 = 22335725003
BaseRepresentation
bin1111110001111…
…11001011110100
3100020002120101000
413320333023310
5232342120010
621045203300
73165130500
oct770771364
9306076330
10132379380
11687a7651
1238400530
132156c7c3
141381d300
15b94d7c0
hex7e3f2f4

132379380 has 144 divisors (see below), whose sum is σ = 479183040. Its totient is φ = 30252096.

The previous prime is 132379361. The next prime is 132379433. The reversal of 132379380 is 83973231.

It is a happy number.

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

It is a congruent number.

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, 23959 + ... + 28961.

It is an arithmetic number, because the mean of its divisors is an integer number (3327660).

Almost surely, 2132379380 is an apocalyptic number.

132379380 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 132379380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239591520).

132379380 is an abundant number, since it is smaller than the sum of its proper divisors (346803660).

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

132379380 is a wasteful number, since it uses less digits than its factorization.

132379380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 132379380 is about 11505.6238422782. The cubic root of 132379380 is about 509.6516652525.

The spelling of 132379380 in words is "one hundred thirty-two million, three hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5003 5292 6615 8820 10006 13230 15009 20012 25015 26460 30018 35021 45027 50030 60036 70042 75045 90054 100060 105063 135081 140084 150090 175105 180108 210126 225135 245147 270162 300180 315189 350210 420252 450270 490294 525315 540324 630378 675405 700420 735441 900540 945567 980588 1050630 1225735 1260756 1350810 1470882 1575945 1891134 2101260 2206323 2451470 2701620 2941764 3151890 3677205 3782268 4412646 4727835 4902940 6303780 6618969 7354410 8825292 9455670 11031615 13237938 14708820 18911340 22063230 26475876 33094845 44126460 66189690 132379380