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107077440 = 2635111539
BaseRepresentation
bin1100110000111…
…01111101000000
321110111002122010
412120131331000
5204402434230
614343012520
72440100061
oct630357500
9243432563
10107077440
1155495958
122ba3a140
1319251042
1410314568
1596019b0
hex661df40

107077440 has 56 divisors (see below), whose sum is σ = 339973920. Its totient is φ = 28553728.

The previous prime is 107077433. The next prime is 107077447. The reversal of 107077440 is 44770701.

It is an interprime number because it is at equal distance from previous prime (107077433) and next prime (107077447).

It is a super-2 number, since 2×1070774402 = 22931156313907200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107077398 and 107077407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107077447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54810 + ... + 56729.

Almost surely, 2107077440 is an apocalyptic number.

107077440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107077440 is an abundant number, since it is smaller than the sum of its proper divisors (232896480).

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

107077440 is a wasteful number, since it uses less digits than its factorization.

107077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111559 (or 111549 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 107077440 is about 10347.8229594442. The cubic root of 107077440 is about 474.8604428427.

The spelling of 107077440 in words is "one hundred seven million, seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 111539 223078 334617 446156 557695 669234 892312 1115390 1338468 1673085 1784624 2230780 2676936 3346170 3569248 4461560 5353872 6692340 7138496 8923120 10707744 13384680 17846240 21415488 26769360 35692480 53538720 107077440