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132864160 = 25511135807
BaseRepresentation
bin1111110101101…
…01100010100000
3100021000012100211
413322311202200
5233003123120
621103423504
73202220032
oct772654240
9307005324
10132864160
1168aa88a0
12385b4b94
13216ac360
1413907c52
15b9e725a
hex7eb58a0

132864160 has 96 divisors (see below), whose sum is σ = 368831232. Its totient is φ = 44590080.

The previous prime is 132864143. The next prime is 132864191. The reversal of 132864160 is 61468231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19977 + ... + 25783.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2132864160 is an apocalyptic number.

132864160 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 132864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

132864160 is an abundant number, since it is smaller than the sum of its proper divisors (235967072).

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

132864160 is a wasteful number, since it uses less digits than its factorization.

132864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 132864160 is about 11526.6716791969. The cubic root of 132864160 is about 510.2730307889.

The spelling of 132864160 in words is "one hundred thirty-two million, eight hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 5807 11440 11614 22880 23228 29035 46456 58070 63877 75491 92912 116140 127754 150982 185824 232280 255508 301964 319385 377455 464560 511016 603928 638770 754910 830401 929120 1022032 1207856 1277540 1509820 1660802 2044064 2415712 2555080 3019640 3321604 4152005 5110160 6039280 6643208 8304010 10220320 12078560 13286416 16608020 26572832 33216040 66432080 132864160