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130069152 = 253543389
BaseRepresentation
bin1111100000010…
…11001010100000
3100001202012100000
413300023022200
5231244203102
620523500000
73136366233
oct760131240
9301665300
10130069152
1167469974
1237687600
1320c410c5
14133bb41a
15b64401c
hex7c0b2a0

130069152 has 144 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 42239232.

The previous prime is 130069151. The next prime is 130069169. The reversal of 130069152 is 251960031.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (130069151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334174 + ... + 334562.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2130069152 is an apocalyptic number.

130069152 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 130069152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

130069152 is an abundant number, since it is smaller than the sum of its proper divisors (263443968).

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

130069152 is an equidigital number, since it uses as much as digits as its factorization.

130069152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 130069152 is about 11404.7863636282. The cubic root of 130069152 is about 506.6695090638.

The spelling of 130069152 in words is "one hundred thirty million, sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 389 432 486 516 648 688 774 778 864 972 1032 1161 1167 1296 1376 1548 1556 1944 2064 2322 2334 2592 3096 3112 3483 3501 3888 4128 4644 4668 6192 6224 6966 7002 7776 9288 9336 10449 10503 12384 12448 13932 14004 16727 18576 18672 20898 21006 27864 28008 31509 33454 37152 37344 41796 42012 50181 55728 56016 63018 66908 83592 84024 94527 100362 111456 112032 126036 133816 150543 167184 168048 189054 200724 252072 267632 301086 334368 336096 378108 401448 451629 504144 535264 602172 756216 802896 903258 1008288 1204344 1354887 1512432 1605792 1806516 2408688 2709774 3024864 3613032 4064661 4817376 5419548 7226064 8129322 10839096 14452128 16258644 21678192 32517288 43356384 65034576 130069152