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109231440 = 2435676793
BaseRepresentation
bin1101000001010…
…11110101010000
321121112112100220
412200223311100
5210430401230
614501113040
72464311003
oct640536520
9247475326
10109231440
115672721a
12306b8780
13198265b6
141071553a
1598c9d10
hex682bd50

109231440 has 80 divisors (see below), whose sum is σ = 343722048. Its totient is φ = 28689408.

The previous prime is 109231417. The next prime is 109231459. The reversal of 109231440 is 44132901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 109231440.

It is a congruent number.

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, 12684 + ... + 19476.

Almost surely, 2109231440 is an apocalyptic number.

109231440 is a gapful number since it is divisible by the number (10) 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 109231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171861024).

109231440 is an abundant number, since it is smaller than the sum of its proper divisors (234490608).

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

109231440 is a wasteful number, since it uses less digits than its factorization.

109231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 109231440 is about 10451.3845972675. The cubic root of 109231440 is about 478.0234694918.

The spelling of 109231440 in words is "one hundred nine million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 6793 8040 13586 16080 20379 27172 33965 40758 54344 67930 81516 101895 108688 135860 163032 203790 271720 326064 407580 455131 543440 815160 910262 1365393 1630320 1820524 2275655 2730786 3641048 4551310 5461572 6826965 7282096 9102620 10923144 13653930 18205240 21846288 27307860 36410480 54615720 109231440