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130660128 = 25371867
BaseRepresentation
bin1111100100110…
…11011100100000
3100002212020000000
413302123130200
5231422111003
620544300000
73144410214
oct762333440
9302766000
10130660128
1167832985
1237911600
13210ba0b1
14134d2944
15b70e1a3
hex7c9b720

130660128 has 96 divisors (see below), whose sum is σ = 386003520. Its totient is φ = 43530048.

The previous prime is 130660111. The next prime is 130660129. The reversal of 130660128 is 821066031.

130660128 is a `hidden beast` number, since 1 + 30 + 6 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (130660129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69051 + ... + 70917.

It is an arithmetic number, because the mean of its divisors is an integer number (4020870).

Almost surely, 2130660128 is an apocalyptic number.

130660128 is a gapful number since it is divisible by the number (18) 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 130660128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193001760).

130660128 is an abundant number, since it is smaller than the sum of its proper divisors (255343392).

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

130660128 is an frugal number, since it uses more digits than its factorization.

130660128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130660128 is about 11430.6661223220. Note that the first 3 decimals coincide. The cubic root of 130660128 is about 507.4357096199.

The spelling of 130660128 in words is "one hundred thirty million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1867 1944 2187 2592 2916 3734 3888 4374 5601 5832 7468 7776 8748 11202 11664 14936 16803 17496 22404 23328 29872 33606 34992 44808 50409 59744 67212 69984 89616 100818 134424 151227 179232 201636 268848 302454 403272 453681 537696 604908 806544 907362 1209816 1361043 1613088 1814724 2419632 2722086 3629448 4083129 4839264 5444172 7258896 8166258 10888344 14517792 16332516 21776688 32665032 43553376 65330064 130660128