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13936140 = 22325139557
BaseRepresentation
bin110101001010…
…011000001100
3222020000210100
4311022120030
512031424030
61214411100
7226312101
oct65123014
928200710
1013936140
117959479
124800a90
132b6c34a
141bcaaa8
151354360
hexd4a60c

13936140 has 72 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3682944.

The previous prime is 13936133. The next prime is 13936159. The reversal of 13936140 is 4163931.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24742 + ... + 25298.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 213936140 is an apocalyptic number.

13936140 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 13936140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13936140 is an abundant number, since it is smaller than the sum of its proper divisors (28717380).

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

13936140 is a wasteful number, since it uses less digits than its factorization.

13936140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13936140 is about 3733.1139816512. The cubic root of 13936140 is about 240.6472114202.

The spelling of 13936140 in words is "thirteen million, nine hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 557 695 834 1114 1251 1390 1668 1671 2085 2228 2502 2780 2785 3342 4170 5004 5013 5570 6255 6684 8340 8355 10026 11140 12510 16710 20052 25020 25065 33420 50130 77423 100260 154846 232269 309692 387115 464538 696807 774230 929076 1161345 1393614 1548460 2322690 2787228 3484035 4645380 6968070 13936140