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132667704 = 233213210903
BaseRepresentation
bin1111110100001…
…01100100111000
3100020122012212200
413322011210320
5232430331304
621055310200
73200441211
oct772054470
9306565780
10132667704
1168984234
123851b360
1321640b00
1413896408
15b9a8e39
hex7e85938

132667704 has 72 divisors (see below), whose sum is σ = 389109240. Its totient is φ = 40817088.

The previous prime is 132667679. The next prime is 132667729. The reversal of 132667704 is 407766231.

It is an interprime number because it is at equal distance from previous prime (132667679) and next prime (132667729).

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 6717 + ... + 17619.

It is an arithmetic number, because the mean of its divisors is an integer number (5404295).

Almost surely, 2132667704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132667704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194554620).

132667704 is an abundant number, since it is smaller than the sum of its proper divisors (256441536).

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

132667704 is a wasteful number, since it uses less digits than its factorization.

132667704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 132667704 is about 11518.1467259277. The cubic root of 132667704 is about 510.0214062526.

The spelling of 132667704 in words is "one hundred thirty-two million, six hundred sixty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 10903 12168 21806 32709 43612 65418 87224 98127 130836 141739 196254 261672 283478 392508 425217 566956 785016 850434 1133912 1275651 1700868 1842607 2551302 3401736 3685214 5102604 5527821 7370428 10205208 11055642 14740856 16583463 22111284 33166926 44222568 66333852 132667704