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109240404 = 223721331461
BaseRepresentation
bin1101000001011…
…10000001010100
321121112222122220
412200232001110
5210431143104
614501222340
72464346100
oct640560124
9247488586
10109240404
1156732a29
12307019b0
131982a6c0
1410718900
1598cc7d9
hex682e054

109240404 has 144 divisors (see below), whose sum is σ = 330333696. Its totient is φ = 27820800.

The previous prime is 109240403. The next prime is 109240421. The reversal of 109240404 is 404042901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109240403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236734 + ... + 237194.

It is an arithmetic number, because the mean of its divisors is an integer number (2293984).

Almost surely, 2109240404 is an apocalyptic number.

109240404 is a gapful number since it is divisible by the number (14) 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 109240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165166848).

109240404 is an abundant number, since it is smaller than the sum of its proper divisors (221093292).

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

109240404 is a wasteful number, since it uses less digits than its factorization.

109240404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 109240404 is about 10451.8134311707. The cubic root of 109240404 is about 478.0365453522.

The spelling of 109240404 in words is "one hundred nine million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 461 546 588 637 651 806 868 922 1092 1209 1274 1302 1383 1519 1612 1844 1911 2418 2548 2604 2766 2821 3038 3227 3822 4557 4836 5532 5642 5993 6076 6454 7644 8463 9114 9681 11284 11986 12908 14291 16926 17979 18228 19362 19747 22589 23972 28582 33852 35958 38724 39494 41951 42873 45178 57164 59241 67767 71916 78988 83902 85746 90356 100037 118482 125853 135534 167804 171492 185783 200074 236964 251706 271068 293657 300111 371566 400148 503412 557349 587314 600222 700259 743132 880971 1114698 1174628 1200444 1300481 1400518 1761942 2100777 2229396 2600962 2801036 3523884 3901443 4201554 5201924 7802886 8403108 9103367 15605772 18206734 27310101 36413468 54620202 109240404