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130067172 = 223271151337
BaseRepresentation
bin1111100000010…
…10101011100100
3100001202002121200
413300022223210
5231244122142
620523442500
73136360404
oct760125344
9301662550
10130067172
1167468434
1237686430
1320c40231
14133ba804
15b64364c
hex7c0aae4

130067172 has 72 divisors (see below), whose sum is σ = 336615552. Its totient is φ = 42336000.

The previous prime is 130067137. The next prime is 130067209. The reversal of 130067172 is 271760031.

130067172 = T253 + T254 + ... + T926.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 385788 + ... + 386124.

It is an arithmetic number, because the mean of its divisors is an integer number (4675216).

Almost surely, 2130067172 is an apocalyptic number.

130067172 is a gapful number since it is divisible by the number (12) 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 130067172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168307776).

130067172 is an abundant number, since it is smaller than the sum of its proper divisors (206548380).

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

130067172 is a wasteful number, since it uses less digits than its factorization.

130067172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 130067172 is about 11404.6995576385. The cubic root of 130067172 is about 506.6669380962. Note that the first 3 decimals are identical.

The spelling of 130067172 in words is "one hundred thirty million, sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 151 213 284 302 337 426 453 604 639 674 852 906 1011 1278 1348 1359 1812 2022 2556 2718 3033 4044 5436 6066 10721 12132 21442 23927 32163 42884 47854 50887 64326 71781 95708 96489 101774 128652 143562 152661 192978 203548 215343 287124 305322 385956 430686 457983 610644 861372 915966 1831932 3612977 7225954 10838931 14451908 21677862 32516793 43355724 65033586 130067172