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13775040 = 263254783
BaseRepresentation
bin110100100011…
…000011000000
3221220211210200
4310203003000
512011300130
61211125200
7225041316
oct64430300
927824720
1013775040
117859434
124743800
132b13c16
141b880b6
151321760
hexd230c0

13775040 has 84 divisors (see below), whose sum is σ = 47390304. Its totient is φ = 3672576.

The previous prime is 13775033. The next prime is 13775051. The reversal of 13775040 is 4057731.

It is a junction number, because it is equal to n+sod(n) for n = 13774995 and 13775013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489 + ... + 5271.

Almost surely, 213775040 is an apocalyptic number.

13775040 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 13775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23695152).

13775040 is an abundant number, since it is smaller than the sum of its proper divisors (33615264).

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

13775040 is a wasteful number, since it uses less digits than its factorization.

13775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13775040 is about 3711.4741006775. The cubic root of 13775040 is about 239.7163315162.

The spelling of 13775040 in words is "thirteen million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4783 9566 14349 19132 23915 28698 38264 43047 47830 57396 71745 76528 86094 95660 114792 143490 153056 172188 191320 215235 229584 286980 306112 344376 382640 430470 459168 573960 688752 765280 860940 918336 1147920 1377504 1530560 1721880 2295840 2755008 3443760 4591680 6887520 13775040