Search a number
-
+
102052240 = 2456132081
BaseRepresentation
bin1100001010100…
…11000110010000
321010000210100121
412011103012100
5202111132430
614043200024
72346300253
oct605230620
9233023317
10102052240
11526733a4
122a216014
13181b1954
14d7a709a
158e5ca7a
hex6153190

102052240 has 40 divisors (see below), whose sum is σ = 237772728. Its totient is φ = 40734720.

The previous prime is 102052199. The next prime is 102052243. The reversal of 102052240 is 42250201.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 100962304 = 1044^2 + 10048^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102052243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48000 + ... + 50080.

Almost surely, 2102052240 is an apocalyptic number.

102052240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102052240 is an abundant number, since it is smaller than the sum of its proper divisors (135720488).

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

102052240 is a wasteful number, since it uses less digits than its factorization.

102052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102052240 is about 10102.0908726857. The cubic root of 102052240 is about 467.3126247294.

The spelling of 102052240 in words is "one hundred two million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613 1226 2081 2452 3065 4162 4904 6130 8324 9808 10405 12260 16648 20810 24520 33296 41620 49040 83240 166480 1275653 2551306 5102612 6378265 10205224 12756530 20410448 25513060 51026120 102052240