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107000700 = 22352973677
BaseRepresentation
bin1100110000010…
…11001101111100
321110100012100220
412120023031330
5204343010300
614341221340
72436330252
oct630131574
9243305326
10107000700
1155443234
122ba01850
1319225131
14102d45d2
1595d8da0
hex660b37c

107000700 has 72 divisors (see below), whose sum is σ = 312865392. Its totient is φ = 28231680.

The previous prime is 107000657. The next prime is 107000701. The reversal of 107000700 is 7000701.

It is a super-2 number, since 2×1070007002 = 22898299600980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 107000700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107000701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27262 + ... + 30938.

Almost surely, 2107000700 is an apocalyptic number.

107000700 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 107000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156432696).

107000700 is an abundant number, since it is smaller than the sum of its proper divisors (205864692).

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

107000700 is a wasteful number, since it uses less digits than its factorization.

107000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 107000700 is about 10344.1142685104. The cubic root of 107000700 is about 474.7469751216.

Subtracting from 107000700 its reverse (7000701), we obtain a palindrome (99999999).

The spelling of 107000700 in words is "one hundred seven million, seven hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 3677 4850 5820 7275 7354 9700 11031 14550 14708 18385 22062 29100 36770 44124 55155 73540 91925 110310 183850 220620 275775 356669 367700 551550 713338 1070007 1103100 1426676 1783345 2140014 3566690 4280028 5350035 7133380 8916725 10700070 17833450 21400140 26750175 35666900 53500350 107000700