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13889040 = 2435115261
BaseRepresentation
bin110100111110…
…111000010000
3222010122011220
4310332320100
512023422130
61213405040
7226024554
oct64767020
928118156
1013889040
117927050
124799780
132b53a89
141bb7864
151345410
hexd3ee10

13889040 has 80 divisors (see below), whose sum is σ = 46979136. Its totient is φ = 3366400.

The previous prime is 13889039. The next prime is 13889041. The reversal of 13889040 is 4098831.

13889040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13889039) and next prime (13889041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13888992 and 13889010.

It is not an unprimeable number, because it can be changed into a prime (13889041) 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, 10 + ... + 5270.

Almost surely, 213889040 is an apocalyptic number.

13889040 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 13889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23489568).

13889040 is an abundant number, since it is smaller than the sum of its proper divisors (33090096).

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

13889040 is a wasteful number, since it uses less digits than its factorization.

13889040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13889040 is about 3726.8002361275. The cubic root of 13889040 is about 240.3758001411.

The spelling of 13889040 in words is "thirteen million, eight hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5261 10522 15783 21044 26305 31566 42088 52610 57871 63132 78915 84176 105220 115742 126264 157830 173613 210440 231484 252528 289355 315660 347226 420880 462968 578710 631320 694452 868065 925936 1157420 1262640 1388904 1736130 2314840 2777808 3472260 4629680 6944520 13889040