Search a number
-
+
102052152 = 23328317077
BaseRepresentation
bin1100001010100…
…11000100111000
321010000210020100
412011103010320
5202111132102
614043155400
72346300066
oct605230470
9233023210
10102052152
1152673324
122a215b60
13181b18b7
14d7a7036
158e5ca1c
hex6153138

102052152 has 48 divisors (see below), whose sum is σ = 279737640. Its totient is φ = 33605568.

The previous prime is 102052151. The next prime is 102052169. The reversal of 102052152 is 251250201.

It is a super-2 number, since 2×1020521522 = 20829283455662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102052151) by changing a digit.

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, 2563 + ... + 14514.

Almost surely, 2102052152 is an apocalyptic number.

102052152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102052152 is an abundant number, since it is smaller than the sum of its proper divisors (177685488).

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

102052152 is a wasteful number, since it uses less digits than its factorization.

102052152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17172 (or 17165 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102052152 is about 10102.0865171508. The cubic root of 102052152 is about 467.3124904076.

The spelling of 102052152 in words is "one hundred two million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 17077 34154 51231 68308 102462 136616 153693 204924 307386 409848 614772 1229544 1417391 2834782 4252173 5669564 8504346 11339128 12756519 17008692 25513038 34017384 51026076 102052152