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102304092 = 2231123311087
BaseRepresentation
bin1100001100100…
…00100101011100
321010111120211110
412012100211130
5202142212332
614052422020
72351366442
oct606204534
9233446743
10102304092
1152825640
122a317910
131826c487
14d830b92
158eac4cc
hex619095c

102304092 has 96 divisors (see below), whose sum is σ = 280756224. Its totient is φ = 28670400.

The previous prime is 102304087. The next prime is 102304093. The reversal of 102304092 is 290403201.

It is a super-2 number, since 2×1023040922 = 20932254479888928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102304093) 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 31 ways as a sum of consecutive naturals, for example, 93573 + ... + 94659.

It is an arithmetic number, because the mean of its divisors is an integer number (2924544).

Almost surely, 2102304092 is an apocalyptic number.

102304092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140378112).

102304092 is an abundant number, since it is smaller than the sum of its proper divisors (178452132).

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

102304092 is a wasteful number, since it uses less digits than its factorization.

102304092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 102304092 is about 10114.5485316943. The cubic root of 102304092 is about 467.6967317123.

Adding to 102304092 its reverse (290403201), we get a palindrome (392707293).

The spelling of 102304092 in words is "one hundred two million, three hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1087 1364 1426 1518 2046 2139 2174 2852 3036 3261 4092 4278 4348 6522 7843 8556 11957 13044 15686 23529 23914 25001 31372 33697 35871 47058 47828 50002 67394 71742 75003 94116 100004 101091 134788 143484 150006 202182 275011 300012 370667 404364 550022 741334 775031 825033 1100044 1112001 1482668 1550062 1650066 2224002 2325093 3100124 3300132 4448004 4650186 8525341 9300372 17050682 25576023 34101364 51152046 102304092