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109329024 = 273789457
BaseRepresentation
bin1101000010000…
…11101010000000
321121201111020010
412201003222000
5210442012044
614503144520
72465165340
oct641035200
9247644203
10109329024
1156793572
1230745140
131985bb3c
141073cd20
1598e8bb9
hex6843a80

109329024 has 128 divisors (see below), whose sum is σ = 336355200. Its totient is φ = 30818304.

The previous prime is 109329013. The next prime is 109329037. The reversal of 109329024 is 420923901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 109328982 and 109329000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239004 + ... + 239460.

It is an arithmetic number, because the mean of its divisors is an integer number (2627775).

Almost surely, 2109329024 is an apocalyptic number.

109329024 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 109329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168177600).

109329024 is an abundant number, since it is smaller than the sum of its proper divisors (227026176).

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

109329024 is an equidigital number, since it uses as much as digits as its factorization.

109329024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 109329024 is about 10456.0520274146. The cubic root of 109329024 is about 478.1657775978.

The spelling of 109329024 in words is "one hundred nine million, three hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 267 336 356 384 448 457 534 623 672 712 896 914 1068 1246 1344 1371 1424 1828 1869 2136 2492 2688 2742 2848 3199 3656 3738 4272 4984 5484 5696 6398 7312 7476 8544 9597 9968 10968 11392 12796 14624 14952 17088 19194 19936 21936 25592 29248 29904 34176 38388 39872 40673 43872 51184 58496 59808 76776 79744 81346 87744 102368 119616 122019 153552 162692 175488 204736 239232 244038 284711 307104 325384 409472 488076 569422 614208 650768 854133 976152 1138844 1228416 1301536 1708266 1952304 2277688 2603072 3416532 3904608 4555376 5206144 6833064 7809216 9110752 13666128 15618432 18221504 27332256 36443008 54664512 109329024