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107540440 = 23572391607
BaseRepresentation
bin1100110100011…
…10111111011000
321111100121202021
412122032333120
5210012243230
614400544224
72444035660
oct632167730
9244317667
10107540440
11557817a7
1230022074
13193839c7
14103d51a0
159693c7a
hex668efd8

107540440 has 64 divisors (see below), whose sum is σ = 277862400. Its totient is φ = 36693888.

The previous prime is 107540423. The next prime is 107540441. The reversal of 107540440 is 44045701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107540441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66117 + ... + 67723.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2107540440 is an apocalyptic number.

107540440 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 107540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931200).

107540440 is an abundant number, since it is smaller than the sum of its proper divisors (170321960).

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

107540440 is a wasteful number, since it uses less digits than its factorization.

107540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 107540440 is about 10370.1706832626. The cubic root of 107540440 is about 475.5438866939.

The spelling of 107540440 in words is "one hundred seven million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 239 280 478 956 1195 1607 1673 1912 2390 3214 3346 4780 6428 6692 8035 8365 9560 11249 12856 13384 16070 16730 22498 32140 33460 44996 56245 64280 66920 89992 112490 224980 384073 449960 768146 1536292 1920365 2688511 3072584 3840730 5377022 7681460 10754044 13442555 15362920 21508088 26885110 53770220 107540440