Search a number
-
+
102295920 = 2435426233
BaseRepresentation
bin1100001100011…
…10100101110000
321010111011121210
412012032211300
5202141432140
614052320120
72351333556
oct606164560
9233434553
10102295920
115281a491
122a313040
131826883c
14d82bbd6
158ea9d80
hex618e970

102295920 has 40 divisors (see below), whose sum is σ = 317118096. Its totient is φ = 27278848.

The previous prime is 102295901. The next prime is 102295933. The reversal of 102295920 is 29592201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212877 + ... + 213356.

Almost surely, 2102295920 is an apocalyptic number.

102295920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102295920 is an abundant number, since it is smaller than the sum of its proper divisors (214822176).

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

102295920 is a wasteful number, since it uses less digits than its factorization.

102295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426249 (or 426243 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 102295920 is about 10114.1445510730. The cubic root of 102295920 is about 467.6842782533.

The spelling of 102295920 in words is "one hundred two million, two hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 426233 852466 1278699 1704932 2131165 2557398 3409864 4262330 5114796 6393495 6819728 8524660 10229592 12786990 17049320 20459184 25573980 34098640 51147960 102295920