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13885440 = 21335113
BaseRepresentation
bin110100111110…
…000000000000
3222010110020120
4310332000000
512023313230
61213340240
7226011222
oct64760000
928113216
1013885440
117924378
124797680
132b5224a
141bb6412
151344310
hexd3e000

13885440 has 112 divisors (see below), whose sum is σ = 44823888. Its totient is φ = 3670016.

The previous prime is 13885439. The next prime is 13885451. The reversal of 13885440 is 4458831.

It is a congruent number.

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, 122824 + ... + 122936.

Almost surely, 213885440 is an apocalyptic number.

13885440 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 13885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411944).

13885440 is an abundant number, since it is smaller than the sum of its proper divisors (30938448).

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

13885440 is an equidigital number, since it uses as much as digits as its factorization.

13885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 13885440 is about 3726.3172167705. The cubic root of 13885440 is about 240.3550301034.

The spelling of 13885440 in words is "thirteen million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 512 565 640 678 768 904 960 1024 1130 1280 1356 1536 1695 1808 1920 2048 2260 2560 2712 3072 3390 3616 3840 4096 4520 5120 5424 6144 6780 7232 7680 8192 9040 10240 10848 12288 13560 14464 15360 18080 20480 21696 24576 27120 28928 30720 36160 40960 43392 54240 57856 61440 72320 86784 108480 115712 122880 144640 173568 216960 231424 289280 347136 433920 462848 578560 694272 867840 925696 1157120 1388544 1735680 2314240 2777088 3471360 4628480 6942720 13885440