Search a number
-
+
107985348 = 223210392887
BaseRepresentation
bin1100110111110…
…11100111000100
321112012020001100
412123323213010
5210121012343
614414300100
72450601042
oct633734704
9245166040
10107985348
1155a55a99
12301b7630
13194ab373
14104ad392
1597309d3
hex66fb9c4

107985348 has 36 divisors (see below), whose sum is σ = 273320320. Its totient is φ = 35948016.

The previous prime is 107985331. The next prime is 107985401. The reversal of 107985348 is 843589701.

107985348 is a `hidden beast` number, since 107 + 9 + 8 + 534 + 8 = 666.

107985348 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1079853482 = 23321670765362208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35961 + ... + 38847.

Almost surely, 2107985348 is an apocalyptic number.

107985348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107985348 is an abundant number, since it is smaller than the sum of its proper divisors (165334972).

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

107985348 is a wasteful number, since it uses less digits than its factorization.

107985348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 107985348 is about 10391.5998768236. The cubic root of 107985348 is about 476.1987788756.

The spelling of 107985348 in words is "one hundred seven million, nine hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1039 2078 2887 3117 4156 5774 6234 8661 9351 11548 12468 17322 18702 25983 34644 37404 51966 103932 2999593 5999186 8998779 11998372 17997558 26996337 35995116 53992674 107985348