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102839058 = 2357193743
BaseRepresentation
bin1100010000100…
…11001100010010
321011111202200000
412020103030102
5202311322213
614112110430
72356055220
oct610231422
9234452600
10102839058
1153060563
122a535416
13183c8b1a
14d92db10
159065c73
hex6213312

102839058 has 192 divisors, whose sum is σ = 292131840. Its totient is φ = 26453952.

The previous prime is 102839057. The next prime is 102839063. The reversal of 102839058 is 850938201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102839053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391585 + ... + 2391627.

It is an arithmetic number, because the mean of its divisors is an integer number (1521520).

Almost surely, 2102839058 is an apocalyptic number.

102839058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102839058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146065920).

102839058 is an abundant number, since it is smaller than the sum of its proper divisors (189292782).

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

102839058 is a wasteful number, since it uses less digits than its factorization.

102839058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 102839058 is about 10140.9594220665. The cubic root of 102839058 is about 468.5105375306.

It can be divided in two parts, 102 and 839058, that added together give a triangular number (839160 = T1295).

The spelling of 102839058 in words is "one hundred two million, eight hundred thirty-nine thousand, fifty-eight".