Search a number
-
+
107488164 = 22372182803
BaseRepresentation
bin1100110100000…
…10001110100100
321111020222001010
412122002032210
5210004110124
614355502220
72443430400
oct632021644
9244228033
10107488164
11557464a3
122bbb7970
1319365c84
14103c0100
159683529
hex66823a4

107488164 has 36 divisors (see below), whose sum is σ = 291755184. Its totient is φ = 30710736.

The previous prime is 107488163. The next prime is 107488207. The reversal of 107488164 is 461884701.

It is not an unprimeable number, because it can be changed into a prime (107488163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90814 + ... + 91989.

Almost surely, 2107488164 is an apocalyptic number.

107488164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107488164 is an abundant number, since it is smaller than the sum of its proper divisors (184267020).

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

107488164 is a wasteful number, since it uses less digits than its factorization.

107488164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182824 (or 182815 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 107488164 is about 10367.6498783476. The cubic root of 107488164 is about 475.4668193711.

The spelling of 107488164 in words is "one hundred seven million, four hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 182803 365606 548409 731212 1096818 1279621 2193636 2559242 3838863 5118484 7677726 8957347 15355452 17914694 26872041 35829388 53744082 107488164