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107023520 = 255838059
BaseRepresentation
bin1100110000100…
…00110010100000
321110101100200002
412120100302200
5204344223040
614341515132
72436453632
oct630206240
9243340602
10107023520
115545939a
122ba12aa8
1319232636
14102dca52
1595e0a15
hex6610ca0

107023520 has 48 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 42288384.

The previous prime is 107023519. The next prime is 107023541. The reversal of 107023520 is 25320701.

It is a super-2 number, since 2×1070235202 = 22908067666380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 107023492 and 107023501.

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, 9251 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2107023520 is an apocalyptic number.

107023520 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 107023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

107023520 is an abundant number, since it is smaller than the sum of its proper divisors (148897600).

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

107023520 is an equidigital number, since it uses as much as digits as its factorization.

107023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 107023520 is about 10345.2172524312. The cubic root of 107023520 is about 474.7807224270.

The spelling of 107023520 in words is "one hundred seven million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 8059 13280 16118 32236 40295 64472 80590 128944 161180 257888 322360 644720 668897 1289440 1337794 2675588 3344485 5351176 6688970 10702352 13377940 21404704 26755880 53511760 107023520