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130172724 = 223311197379
BaseRepresentation
bin1111100001001…
…00011100110100
3100001221110102000
413300210130310
5231311011344
620530015300
73140310213
oct760443464
9301843360
10130172724
116752a770
1237717530
1320c792a6
141340707a
15b664a69
hex7c24734

130172724 has 192 divisors, whose sum is σ = 397824000. Its totient is φ = 36391680.

The previous prime is 130172711. The next prime is 130172729. The reversal of 130172724 is 427271031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130172729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1647717 + ... + 1647795.

It is an arithmetic number, because the mean of its divisors is an integer number (2072000).

Almost surely, 2130172724 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 130172724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198912000).

130172724 is an abundant number, since it is smaller than the sum of its proper divisors (267651276).

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

130172724 is a wasteful number, since it uses less digits than its factorization.

130172724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 130172724 is about 11409.3261851873. The cubic root of 130172724 is about 506.8039576781.

The spelling of 130172724 in words is "one hundred thirty million, one hundred seventy-two thousand, seven hundred twenty-four".