Search a number
-
+
102312056 = 23711414051
BaseRepresentation
bin1100001100100…
…10100001111000
321010111222202102
412012102201320
5202142441211
614052522532
72351431610
oct606224170
9233458672
10102312056
1152830620
122a320448
1318272ca2
14d833a40
158eaea3b
hex6192878

102312056 has 64 divisors (see below), whose sum is σ = 245064960. Its totient is φ = 38880000.

The previous prime is 102312043. The next prime is 102312079. The reversal of 102312056 is 650213201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23231 + ... + 27281.

It is an arithmetic number, because the mean of its divisors is an integer number (3829140).

Almost surely, 2102312056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102312056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122532480).

102312056 is an abundant number, since it is smaller than the sum of its proper divisors (142752904).

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

102312056 is a wasteful number, since it uses less digits than its factorization.

102312056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102312056 is about 10114.9422143678. The cubic root of 102312056 is about 467.7088675584.

Adding to 102312056 its reverse (650213201), we get a palindrome (752525257).

The spelling of 102312056 in words is "one hundred two million, three hundred twelve thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 574 616 902 1148 1804 2296 3157 3608 4051 6314 8102 12628 16204 25256 28357 32408 44561 56714 89122 113428 166091 178244 226856 311927 332182 356488 623854 664364 1162637 1247708 1328728 1827001 2325274 2495416 3654002 4650548 7308004 9301096 12789007 14616008 25578014 51156028 102312056