Search a number
-
+
102916180 = 2255145809
BaseRepresentation
bin1100010001001…
…10000001010100
321011122200110101
412020212001110
5202321304210
614113503444
72356526113
oct610460124
9234580411
10102916180
11531034a4
122a571b84
1318424c63
14d94dc7a
15907da3a
hex6226054

102916180 has 12 divisors (see below), whose sum is σ = 216124020. Its totient is φ = 41166464.

The previous prime is 102916159. The next prime is 102916193. The reversal of 102916180 is 81619201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59197636 + 43718544 = 7694^2 + 6612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2572885 + ... + 2572924.

It is an arithmetic number, because the mean of its divisors is an integer number (18010335).

Almost surely, 2102916180 is an apocalyptic number.

102916180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102916180 is an abundant number, since it is smaller than the sum of its proper divisors (113207840).

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

102916180 is a wasteful number, since it uses less digits than its factorization.

102916180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145818 (or 5145816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 102916180 is about 10144.7612096096. The cubic root of 102916180 is about 468.6276248250.

It can be divided in two parts, 10291 and 6180, that added together give a triangular number (16471 = T181).

The spelling of 102916180 in words is "one hundred two million, nine hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 5145809 10291618 20583236 25729045 51458090 102916180