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102613040 = 24511311351
BaseRepresentation
bin1100001110111…
…00000000110000
321011002021121222
412013130000300
5202232104130
614103204212
72354124245
oct607340060
9234067558
10102613040
1152a16772
122a446668
1318349c9a
14d8b15cc
15901dce5
hex61dc030

102613040 has 40 divisors (see below), whose sum is σ = 240707808. Its totient is φ = 40678400.

The previous prime is 102613033. The next prime is 102613061. The reversal of 102613040 is 40316201.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3365 + ... + 14715.

Almost surely, 2102613040 is an apocalyptic number.

102613040 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 102613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120353904).

102613040 is an abundant number, since it is smaller than the sum of its proper divisors (138094768).

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

102613040 is a wasteful number, since it uses less digits than its factorization.

102613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102613040 is about 10129.8094750099. The cubic root of 102613040 is about 468.1670575100.

Adding to 102613040 its reverse (40316201), we get a palindrome (142929241).

The spelling of 102613040 in words is "one hundred two million, six hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 11351 22702 45404 56755 90808 113510 181616 227020 454040 908080 1282663 2565326 5130652 6413315 10261304 12826630 20522608 25653260 51306520 102613040