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109134648 = 2333789811
BaseRepresentation
bin1101000000101…
…00001100111000
321121100121121000
412200110030320
5210414302043
614455045000
72463425550
oct640241470
9247317530
10109134648
1156670527
1230670760
13197c151c
14106cc160
1598ab2d3
hex6814338

109134648 has 128 divisors (see below), whose sum is σ = 350784000. Its totient is φ = 30792960.

The previous prime is 109134647. The next prime is 109134671. The reversal of 109134648 is 846431901.

109134648 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 3 + 4 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109134643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134163 + ... + 134973.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 2109134648 is an apocalyptic number.

109134648 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 109134648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392000).

109134648 is an abundant number, since it is smaller than the sum of its proper divisors (241649352).

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

109134648 is a wasteful number, since it uses less digits than its factorization.

109134648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109134648 is about 10446.7529883692. The cubic root of 109134648 is about 477.8822326192.

The spelling of 109134648 in words is "one hundred nine million, one hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 89 108 126 168 178 189 216 252 267 356 378 504 534 623 712 756 801 811 1068 1246 1512 1602 1622 1869 2136 2403 2433 2492 3204 3244 3738 4806 4866 4984 5607 5677 6408 6488 7299 7476 9612 9732 11214 11354 14598 14952 16821 17031 19224 19464 21897 22428 22708 29196 33642 34062 43794 44856 45416 51093 58392 67284 68124 72179 87588 102186 134568 136248 144358 153279 175176 204372 216537 288716 306558 408744 433074 505253 577432 613116 649611 866148 1010506 1226232 1299222 1515759 1732296 1948833 2021012 2598444 3031518 3897666 4042024 4547277 5196888 6063036 7795332 9094554 12126072 13641831 15590664 18189108 27283662 36378216 54567324 109134648