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107720000 = 26542693
BaseRepresentation
bin1100110101110…
…10110101000000
321111200202001122
412122322311000
5210034020000
614404451412
72445414323
oct632726500
9244622048
10107720000
11558946a3
12300a9b68
131941765b
14104407ba
1596cc085
hex66bad40

107720000 has 70 divisors (see below), whose sum is σ = 267209778. Its totient is φ = 43072000.

The previous prime is 107719991. The next prime is 107720021. The reversal of 107720000 is 27701.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 47004736 + 60715264 = 6856^2 + 7792^2 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 38654 + ... + 41346.

Almost surely, 2107720000 is an apocalyptic number.

107720000 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 107720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133604889).

107720000 is an abundant number, since it is smaller than the sum of its proper divisors (159489778).

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

107720000 is an frugal number, since it uses more digits than its factorization.

107720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 107720000 is about 10378.8245962633. The cubic root of 107720000 is about 475.8084109973.

Adding to 107720000 its reverse (27701), we get a palindrome (107747701).

The spelling of 107720000 in words is "one hundred seven million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2693 4000 5000 5386 8000 10000 10772 13465 20000 21544 26930 40000 43088 53860 67325 86176 107720 134650 172352 215440 269300 336625 430880 538600 673250 861760 1077200 1346500 1683125 2154400 2693000 3366250 4308800 5386000 6732500 10772000 13465000 21544000 26930000 53860000 107720000