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259386140 = 225134192381
BaseRepresentation
bin11110111010111…
…10101100011100
3200002002011220002
433131132230130
51012400324030
641423313432
76266513546
oct1735365434
9602064802
10259386140
11123464712
1272a4b878
134197aa30
1426640696
1517b8a245
hexf75eb1c

259386140 has 48 divisors (see below), whose sum is σ = 588258720. Its totient is φ = 95504640.

The previous prime is 259386109. The next prime is 259386167. The reversal of 259386140 is 41683952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 259386094 and 259386103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107750 + ... + 110130.

It is an arithmetic number, because the mean of its divisors is an integer number (12255390).

Almost surely, 2259386140 is an apocalyptic number.

259386140 is a gapful number since it is divisible by the number (20) 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 259386140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294129360).

259386140 is an abundant number, since it is smaller than the sum of its proper divisors (328872580).

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

259386140 is a wasteful number, since it uses less digits than its factorization.

259386140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 259386140 is about 16105.4692573672. The cubic root of 259386140 is about 637.7477309658.

The spelling of 259386140 in words is "two hundred fifty-nine million, three hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 419 838 1676 2095 2381 4190 4762 5447 8380 9524 10894 11905 21788 23810 27235 30953 47620 54470 61906 108940 123812 154765 309530 619060 997639 1995278 3990556 4988195 9976390 12969307 19952780 25938614 51877228 64846535 129693070 259386140