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102010304 = 2611473083
BaseRepresentation
bin1100001010010…
…00110111000000
321002221122211102
412011020313000
5202103312204
614042233532
72346034064
oct605106700
9232848742
10102010304
1152644940
122a1b58a8
1318198836
14d795aa4
158e5041e
hex6148dc0

102010304 has 56 divisors (see below), whose sum is σ = 225600768. Its totient is φ = 45367040.

The previous prime is 102010301. The next prime is 102010309. The reversal of 102010304 is 403010201.

It is a happy number.

It is a super-2 number, since 2×1020103042 = 20812204244344832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010301) 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, 31547 + ... + 34629.

Almost surely, 2102010304 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 102010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112800384).

102010304 is an abundant number, since it is smaller than the sum of its proper divisors (123590464).

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

102010304 is a wasteful number, since it uses less digits than its factorization.

102010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102010304 is about 10100.0150494937. The cubic root of 102010304 is about 467.2486055330.

Adding to 102010304 its reverse (403010201), we get a palindrome (505020505).

The spelling of 102010304 in words is "one hundred two million, ten thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 3083 4136 6166 8272 12332 16544 24664 33088 33913 49328 67826 98656 135652 144901 197312 271304 289802 542608 579604 1085216 1159208 1593911 2170432 2318416 3187822 4636832 6375644 9273664 12751288 25502576 51005152 102010304