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132331080 = 23357263599
BaseRepresentation
bin1111110001100…
…11011001001000
3100020000010010010
413320303121020
5232334043310
621044151520
73164536620
oct770633110
9306003103
10132331080
1168774332
12383985a0
132155381b
1413809880
15b93e320
hex7e33648

132331080 has 128 divisors (see below), whose sum is σ = 456192000. Its totient is φ = 30081792.

The previous prime is 132331063. The next prime is 132331127. The reversal of 132331080 is 80133231.

132331080 = 10312 + 10322 + ... + 11422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220621 + ... + 221219.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2132331080 is an apocalyptic number.

132331080 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 132331080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

132331080 is an abundant number, since it is smaller than the sum of its proper divisors (323860920).

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

132331080 is a wasteful number, since it uses less digits than its factorization.

132331080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132331080 is about 11503.5246772457. The cubic root of 132331080 is about 509.5896738007.

The spelling of 132331080 in words is "one hundred thirty-two million, three hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 263 280 420 526 599 789 840 1052 1198 1315 1578 1797 1841 2104 2396 2630 2995 3156 3594 3682 3945 4193 4792 5260 5523 5990 6312 7188 7364 7890 8386 8985 9205 10520 11046 11980 12579 14376 14728 15780 16772 17970 18410 20965 22092 23960 25158 27615 31560 33544 35940 36820 41930 44184 50316 55230 62895 71880 73640 83860 100632 110460 125790 157537 167720 220920 251580 315074 472611 503160 630148 787685 945222 1102759 1260296 1575370 1890444 2205518 2363055 3150740 3308277 3780888 4411036 4726110 5513795 6301480 6616554 8822072 9452220 11027590 13233108 16541385 18904440 22055180 26466216 33082770 44110360 66165540 132331080