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107705840 = 24511122393
BaseRepresentation
bin1100110101101…
…11010111110000
321111200000122012
412122313113300
5210033041330
614404302052
72445325124
oct632672760
9244600565
10107705840
1155884aa0
12300a1928
1319411088
1410439584
1596c7c95
hex66b75f0

107705840 has 40 divisors (see below), whose sum is σ = 273183408. Its totient is φ = 39165440.

The previous prime is 107705839. The next prime is 107705861. The reversal of 107705840 is 48507701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 107705797 and 107705806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60317 + ... + 62076.

Almost surely, 2107705840 is an apocalyptic number.

107705840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107705840 is an abundant number, since it is smaller than the sum of its proper divisors (165477568).

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

107705840 is a wasteful number, since it uses less digits than its factorization.

107705840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122417 (or 122411 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 107705840 is about 10378.1424156734. The cubic root of 107705840 is about 475.7875614419.

The spelling of 107705840 in words is "one hundred seven million, seven hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 122393 244786 489572 611965 979144 1223930 1346323 1958288 2447860 2692646 4895720 5385292 6731615 9791440 10770584 13463230 21541168 26926460 53852920 107705840