Search a number
-
+
107349696 = 26321719577
BaseRepresentation
bin1100110011000…
…00011011000000
321110222221002200
412121200123000
5204440142241
614352513200
72442312606
oct631403300
9243887080
10107349696
1155661463
122bb4b800
1319317c3c
1410385876
1596574b6
hex66606c0

107349696 has 168 divisors, whose sum is σ = 343540080. Its totient is φ = 31850496.

The previous prime is 107349689. The next prime is 107349707. The reversal of 107349696 is 696943701.

107349696 is a `hidden beast` number, since 1 + 0 + 73 + 496 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185760 + ... + 186336.

Almost surely, 2107349696 is an apocalyptic number.

107349696 is a gapful number since it is divisible by the number (16) 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 107349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171770040).

107349696 is an abundant number, since it is smaller than the sum of its proper divisors (236190384).

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

107349696 is a wasteful number, since it uses less digits than its factorization.

107349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 107349696 is about 10360.9698387747. The cubic root of 107349696 is about 475.2625636091.

The spelling of 107349696 in words is "one hundred seven million, three hundred forty-nine thousand, six hundred ninety-six".