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73132668 = 22327290209
BaseRepresentation
bin1000101101111…
…10101001111100
312002121112011100
410112332221330
5122210221133
611131253100
71545421530
oct426765174
9162545140
1073132668
1138310724
12205aa190
13121c768b
1499d9bc0
156648e13
hex45bea7c

73132668 has 36 divisors (see below), whose sum is σ = 211272880. Its totient is φ = 20894976.

The previous prime is 73132651. The next prime is 73132727. The reversal of 73132668 is 86623137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 144853 + ... + 145356.

Almost surely, 273132668 is an apocalyptic number.

It is an amenable number.

73132668 is an abundant number, since it is smaller than the sum of its proper divisors (138140212).

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

73132668 is a wasteful number, since it uses less digits than its factorization.

73132668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290226 (or 290221 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73132668 is about 8551.7640285499. The cubic root of 73132668 is about 418.1869465889.

The spelling of 73132668 in words is "seventy-three million, one hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 290209 580418 870627 1160836 1741254 2031463 2611881 3482508 4062926 5223762 6094389 8125852 10447524 12188778 18283167 24377556 36566334 73132668