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13988160 = 263351619
BaseRepresentation
bin110101010111…
…000101000000
3222022200011000
4311113011000
512040110120
61215452000
7226616544
oct65270500
928280130
1013988160
11799456a
124827000
132b89c24
141c01a24
151364990
hexd57140

13988160 has 112 divisors (see below), whose sum is σ = 49377600. Its totient is φ = 3727872.

The previous prime is 13988159. The next prime is 13988167. The reversal of 13988160 is 6188931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988167) 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, 7831 + ... + 9449.

Almost surely, 213988160 is an apocalyptic number.

13988160 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 13988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688800).

13988160 is an abundant number, since it is smaller than the sum of its proper divisors (35389440).

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

13988160 is a wasteful number, since it uses less digits than its factorization.

13988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13988160 is about 3740.0748655608. The cubic root of 13988160 is about 240.9462641969.

The spelling of 13988160 in words is "thirteen million, nine hundred eighty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1619 1728 2160 2880 3238 4320 4857 6476 8095 8640 9714 12952 14571 16190 19428 24285 25904 29142 32380 38856 43713 48570 51808 58284 64760 72855 77712 87426 97140 103616 116568 129520 145710 155424 174852 194280 218565 233136 259040 291420 310848 349704 388560 437130 466272 518080 582840 699408 777120 874260 932544 1165680 1398816 1554240 1748520 2331360 2797632 3497040 4662720 6994080 13988160