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109685440 = 2653111057
BaseRepresentation
bin1101000100110…
…10101011000000
321122101121010201
412202122223000
5211034413230
614514534544
72501211424
oct642325300
9248347121
10109685440
1156a07327
1230897454
1319955137
14107d2b84
1599695ca
hex689aac0

109685440 has 56 divisors (see below), whose sum is σ = 269638272. Its totient is φ = 42455040.

The previous prime is 109685437. The next prime is 109685473. The reversal of 109685440 is 44586901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109685440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4392 + ... + 15448.

Almost surely, 2109685440 is an apocalyptic number.

109685440 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 109685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134819136).

109685440 is an abundant number, since it is smaller than the sum of its proper divisors (159952832).

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

109685440 is a wasteful number, since it uses less digits than its factorization.

109685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 109685440 is about 10473.0816859222. The cubic root of 109685440 is about 478.6848257100.

The spelling of 109685440 in words is "one hundred nine million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 11057 22114 44228 55285 88456 110570 176912 221140 342767 353824 442280 685534 707648 884560 1371068 1713835 1769120 2742136 3427670 3538240 5484272 6855340 10968544 13710680 21937088 27421360 54842720 109685440