Search a number
-
+
107620900 = 22524126249
BaseRepresentation
bin1100110101000…
…10101000100100
321111111201010021
412122202220210
5210022332100
614402404524
72444522362
oct632425044
9244451107
10107620900
11558271a2
1230060744
13193b150a
1410416632
1596aca1a
hex66a2a24

107620900 has 36 divisors (see below), whose sum is σ = 239242500. Its totient is φ = 41996800.

The previous prime is 107620867. The next prime is 107620937. The reversal of 107620900 is 9026701.

It can be written as a sum of positive squares in 6 ways, for example, as 8259876 + 99361024 = 2874^2 + 9968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 9025 + ... + 17224.

It is an arithmetic number, because the mean of its divisors is an integer number (6645625).

Almost surely, 2107620900 is an apocalyptic number.

107620900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107620900 is an abundant number, since it is smaller than the sum of its proper divisors (131621600).

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

107620900 is a wasteful number, since it uses less digits than its factorization.

107620900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26304 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 107620900 is about 10374.0493540372. The cubic root of 107620900 is about 475.6624551837.

The spelling of 107620900 in words is "one hundred seven million, six hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 26249 52498 104996 131245 262490 524980 656225 1076209 1312450 2152418 2624900 4304836 5381045 10762090 21524180 26905225 53810450 107620900