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13886840 = 2351137853
BaseRepresentation
bin110100111110…
…010101111000
3222010112011102
4310332111320
512023334330
61213350532
7226015262
oct64762570
928115142
1013886840
117925430
124798448
132b52a86
141bb6b32
151344945
hexd3e578

13886840 has 64 divisors (see below), whose sum is σ = 35048160. Its totient is φ = 4907520.

The previous prime is 13886839. The next prime is 13886843. The reversal of 13886840 is 4868831.

It is a junction number, because it is equal to n+sod(n) for n = 13886794 and 13886803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13886843) 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, 15854 + ... + 16706.

Almost surely, 213886840 is an apocalyptic number.

13886840 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 13886840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524080).

13886840 is an abundant number, since it is smaller than the sum of its proper divisors (21161320).

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

13886840 is a wasteful number, since it uses less digits than its factorization.

13886840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 13886840 is about 3726.5050650710. The cubic root of 13886840 is about 240.3631077668.

Subtracting from 13886840 its reverse (4868831), we obtain a square (9018009 = 30032).

It can be divided in two parts, 1388 and 6840, that added together give a palindrome (8228).

The spelling of 13886840 in words is "thirteen million, eight hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 853 1480 1628 1706 2035 3256 3412 4070 4265 6824 8140 8530 9383 16280 17060 18766 31561 34120 37532 46915 63122 75064 93830 126244 157805 187660 252488 315610 347171 375320 631220 694342 1262440 1388684 1735855 2777368 3471710 6943420 13886840