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109319392 = 25721331173
BaseRepresentation
bin1101000010000…
…01010011100000
321121201000000101
412201001103200
5210441210032
614503032144
72465125300
oct641012340
9247630011
10109319392
1156787306
123073b654
1319857640
1410739600
1598e5de7
hex68414e0

109319392 has 144 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 41610240.

The previous prime is 109319387. The next prime is 109319429. The reversal of 109319392 is 293913901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631818 + ... + 631990.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 2109319392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109319392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

109319392 is an abundant number, since it is smaller than the sum of its proper divisors (170606240).

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

109319392 is a wasteful number, since it uses less digits than its factorization.

109319392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 109319392 is about 10455.5914227747. The cubic root of 109319392 is about 478.1517348857.

The spelling of 109319392 in words is "one hundred nine million, three hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 91 98 104 112 124 173 182 196 208 217 224 248 346 364 392 403 416 434 496 637 692 728 784 806 868 992 1211 1274 1384 1456 1519 1568 1612 1736 2249 2422 2548 2768 2821 2912 3038 3224 3472 4498 4844 5096 5363 5536 5642 6076 6448 6944 8477 8996 9688 10192 10726 11284 12152 12896 15743 16954 17992 19376 19747 20384 21452 22568 24304 31486 33908 35984 37541 38752 39494 42904 45136 48608 62972 67816 69719 71968 75082 78988 85808 90272 110201 125944 135632 139438 150164 157976 171616 220402 251888 262787 271264 278876 300328 315952 440804 488033 503776 525574 557752 600656 631904 881608 976066 1051148 1115504 1201312 1763216 1952132 2102296 2231008 3416231 3526432 3904264 4204592 6832462 7808528 8409184 13664924 15617056 27329848 54659696 109319392