Search a number
-
+
102642840 = 23325285119
BaseRepresentation
bin1100001111000…
…11010010011000
321011010210111200
412013203102120
5202234032330
614103554200
72354310156
oct607432230
9234123450
10102642840
1152a370a3
122a45b960
131835a711
14d8bc3d6
159027a60
hex61e3498

102642840 has 48 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 27371328.

The previous prime is 102642779. The next prime is 102642871. The reversal of 102642840 is 48246201.

102642840 is a `hidden beast` number, since 10 + 2 + 642 + 8 + 4 + 0 = 666.

It is a congruent number.

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, 142200 + ... + 142919.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2102642840 is an apocalyptic number.

102642840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102642840 is an abundant number, since it is smaller than the sum of its proper divisors (230947560).

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

102642840 is a wasteful number, since it uses less digits than its factorization.

102642840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285136 (or 285129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102642840 is about 10131.2802744767. The cubic root of 102642840 is about 468.2123734789.

The spelling of 102642840 in words is "one hundred two million, six hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 285119 570238 855357 1140476 1425595 1710714 2280952 2566071 2851190 3421428 4276785 5132142 5702380 6842856 8553570 10264284 11404760 12830355 17107140 20528568 25660710 34214280 51321420 102642840