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130969168 = 24111096827
BaseRepresentation
bin1111100111001…
…10111001010000
3100010102220220221
413303212321100
5232012003133
620555042424
73150135211
oct763467120
9303386827
10130969168
1167a24090
1237a40414
1321197965
1413573408
15b770a2d
hex7ce6e50

130969168 has 40 divisors (see below), whose sum is σ = 279401760. Its totient is φ = 58976640.

The previous prime is 130969093. The next prime is 130969169. The reversal of 130969168 is 861969031.

It is a super-2 number, since 2×1309691682 = 34305845933224448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130969169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15771 + ... + 22597.

It is an arithmetic number, because the mean of its divisors is an integer number (6985044).

Almost surely, 2130969168 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 130969168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700880).

130969168 is an abundant number, since it is smaller than the sum of its proper divisors (148432592).

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

130969168 is a wasteful number, since it uses less digits than its factorization.

130969168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 130969168 is about 11444.1761608252. The cubic root of 130969168 is about 507.8354603829.

The spelling of 130969168 in words is "one hundred thirty million, nine hundred sixty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 6827 9592 13654 19184 27308 54616 75097 109232 150194 300388 600776 744143 1201552 1488286 2976572 5953144 8185573 11906288 16371146 32742292 65484584 130969168