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102590340 = 223513912301
BaseRepresentation
bin1100001110101…
…10011110000100
321011001010111020
412013112132010
5202230342330
614102511140
72354001126
oct607263604
9234033436
10102590340
1152a00706
122a4354b0
131833c858
14d8a7216
159017210
hex61d6784

102590340 has 48 divisors (see below), whose sum is σ = 289343040. Its totient is φ = 27158400.

The previous prime is 102590339. The next prime is 102590357. The reversal of 102590340 is 43095201.

It is a super-2 number, since 2×1025903402 = 21049555722631200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102590340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190 + ... + 14490.

It is an arithmetic number, because the mean of its divisors is an integer number (6027980).

Almost surely, 2102590340 is an apocalyptic number.

102590340 is a gapful number since it is divisible by the number (10) 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 102590340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144671520).

102590340 is an abundant number, since it is smaller than the sum of its proper divisors (186752700).

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

102590340 is a wasteful number, since it uses less digits than its factorization.

102590340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12452 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102590340 is about 10128.6889576095. The cubic root of 102590340 is about 468.1325324114.

The spelling of 102590340 in words is "one hundred two million, five hundred ninety thousand, three hundred forty".