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13883640 = 2335127911
BaseRepresentation
bin110100111101…
…100011111000
3222010100202220
4310331203320
512023234030
61213324040
7226003041
oct64754370
928110686
1013883640
117922a91
124796620
132b51494
141bb58c8
151343a10
hexd3d8f8

13883640 has 64 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 3669120.

The previous prime is 13883627. The next prime is 13883641. The reversal of 13883640 is 4638831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14785 + ... + 15695.

It is an arithmetic number, because the mean of its divisors is an integer number (656640).

Almost surely, 213883640 is an apocalyptic number.

13883640 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 13883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

13883640 is an abundant number, since it is smaller than the sum of its proper divisors (28141320).

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

13883640 is a wasteful number, since it uses less digits than its factorization.

13883640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13883640 is about 3726.0756836114. The cubic root of 13883640 is about 240.3446437382.

The spelling of 13883640 in words is "thirteen million, eight hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 911 1016 1270 1524 1822 1905 2540 2733 3048 3644 3810 4555 5080 5466 7288 7620 9110 10932 13665 15240 18220 21864 27330 36440 54660 109320 115697 231394 347091 462788 578485 694182 925576 1156970 1388364 1735455 2313940 2776728 3470910 4627880 6941820 13883640