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133972644 = 223132713169
BaseRepresentation
bin1111111110001…
…00001010100100
3100100002111220210
413333010022210
5233244111034
621143255420
73214514541
oct777041244
9310074823
10133972644
11696956a3
1238a4a570
13219a9a70
1413b15bc8
15bb658e9
hex7fc42a4

133972644 has 48 divisors (see below), whose sum is σ = 337998080. Its totient is φ = 41057280.

The previous prime is 133972637. The next prime is 133972661. The reversal of 133972644 is 446279331.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 40692 + ... + 43860.

Almost surely, 2133972644 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 133972644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168999040).

133972644 is an abundant number, since it is smaller than the sum of its proper divisors (204025436).

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

133972644 is a wasteful number, since it uses less digits than its factorization.

133972644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3458 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 133972644 is about 11574.6552432459. The cubic root of 133972644 is about 511.6881696988.

The spelling of 133972644 in words is "one hundred thirty-three million, nine hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 271 542 813 1084 1626 3169 3252 3523 6338 7046 9507 10569 12676 14092 19014 21138 38028 41197 42276 82394 123591 164788 247182 494364 858799 1717598 2576397 3435196 5152794 10305588 11164387 22328774 33493161 44657548 66986322 133972644