Search a number
-
+
107613252 = 22331636113
BaseRepresentation
bin1100110101000…
…00110001000100
321111111022122000
412122200301010
5210022111002
614402305300
72444461155
oct632406104
9244438560
10107613252
115582147a
1230058230
13193aaba6
141041392c
1596aa61c
hex66a0c44

107613252 has 48 divisors (see below), whose sum is σ = 280754880. Its totient is φ = 35645184.

The previous prime is 107613241. The next prime is 107613271. The reversal of 107613252 is 252316701.

It is a happy number.

It is a super-2 number, since 2×1076132522 = 23161224012031008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14548 + ... + 20660.

It is an arithmetic number, because the mean of its divisors is an integer number (5849060).

Almost surely, 2107613252 is an apocalyptic number.

107613252 is a gapful number since it is divisible by the number (12) 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 107613252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140377440).

107613252 is an abundant number, since it is smaller than the sum of its proper divisors (173141628).

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

107613252 is a wasteful number, since it uses less digits than its factorization.

107613252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107613252 is about 10373.6807353996. The cubic root of 107613252 is about 475.6511873828.

Adding to 107613252 its reverse (252316701), we get a palindrome (359929953).

The spelling of 107613252 in words is "one hundred seven million, six hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 6113 8802 12226 17604 18339 24452 36678 55017 73356 110034 165051 220068 330102 660204 996419 1992838 2989257 3985676 5978514 8967771 11957028 17935542 26903313 35871084 53806626 107613252