Search a number
-
+
107452032 = 273279823
BaseRepresentation
bin1100110011110…
…01011010000000
321111012010110220
412121321122000
5210001431112
614355023040
72443220142
oct631713200
9244163426
10107452032
1155721336
122bb9aa80
13193526ac
14103b0c92
15967798c
hex6679680

107452032 has 32 divisors (see below), whose sum is σ = 285420480. Its totient is φ = 35817216.

The previous prime is 107452031. The next prime is 107452043. The reversal of 107452032 is 230254701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 107451993 and 107452011.

It is not an unprimeable number, because it can be changed into a prime (107452031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139528 + ... + 140295.

It is an arithmetic number, because the mean of its divisors is an integer number (8919390).

Almost surely, 2107452032 is an apocalyptic number.

107452032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107452032 is an abundant number, since it is smaller than the sum of its proper divisors (177968448).

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

107452032 is an equidigital number, since it uses as much as digits as its factorization.

107452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279840 (or 279828 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 107452032 is about 10365.9071961889. The cubic root of 107452032 is about 475.4135375591.

The spelling of 107452032 in words is "one hundred seven million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 279823 559646 839469 1119292 1678938 2238584 3357876 4477168 6715752 8954336 13431504 17908672 26863008 35817344 53726016 107452032