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109130976 = 253471593
BaseRepresentation
bin1101000000100…
…11010011100000
321121100102120000
412200103103200
5210414142401
614455020000
72463412053
oct640232340
9247312500
10109130976
1156668799
123066a600
13197bc956
14106caa9a
1598aa186
hex68134e0

109130976 has 120 divisors (see below), whose sum is σ = 326020464. Its totient is φ = 35804160.

The previous prime is 109130969. The next prime is 109130977. The reversal of 109130976 is 679031901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109130976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109130977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183736 + ... + 184328.

Almost surely, 2109130976 is an apocalyptic number.

109130976 is a gapful number since it is divisible by the number (16) 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 109130976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010232).

109130976 is an abundant number, since it is smaller than the sum of its proper divisors (216889488).

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

109130976 is an equidigital number, since it uses as much as digits as its factorization.

109130976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 109130976 is about 10446.5772385026. The cubic root of 109130976 is about 477.8768728693.

The spelling of 109130976 in words is "one hundred nine million, one hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 593 639 648 852 864 1136 1186 1278 1296 1704 1779 1917 2272 2372 2556 2592 3408 3558 3834 4744 5112 5337 5751 6816 7116 7668 9488 10224 10674 11502 14232 15336 16011 18976 20448 21348 23004 28464 30672 32022 42103 42696 46008 48033 56928 61344 64044 84206 85392 92016 96066 126309 128088 168412 170784 184032 192132 252618 256176 336824 378927 384264 505236 512352 673648 757854 768528 1010472 1136781 1347296 1515708 1537056 2020944 2273562 3031416 3410343 4041888 4547124 6062832 6820686 9094248 12125664 13641372 18188496 27282744 36376992 54565488 109130976