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13913940 = 2235435393
BaseRepresentation
bin110101000100…
…111101010100
3222011220100010
4311010331110
512030221230
61214120220
7226160265
oct65047524
928156303
1013913940
117943827
1247b0070
132b62201
141bc296c
15134c9b0
hexd44f54

13913940 has 48 divisors (see below), whose sum is σ = 39872448. Its totient is φ = 3623424.

The previous prime is 13913929. The next prime is 13913951. The reversal of 13913940 is 4931931.

13913940 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 (13913929) and next prime (13913951).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13913898 and 13913907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 5276.

It is an arithmetic number, because the mean of its divisors is an integer number (830676).

Almost surely, 213913940 is an apocalyptic number.

13913940 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 13913940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936224).

13913940 is an abundant number, since it is smaller than the sum of its proper divisors (25958508).

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

13913940 is a wasteful number, since it uses less digits than its factorization.

13913940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13913940 is about 3730.1394075825. The cubic root of 13913940 is about 240.5193613993.

Subtracting from 13913940 its reverse (4931931), we obtain a square (8982009 = 29972).

The spelling of 13913940 in words is "thirteen million, nine hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5393 10786 16179 21572 26965 32358 53930 64716 80895 107860 161790 231899 323580 463798 695697 927596 1159495 1391394 2318990 2782788 3478485 4637980 6956970 13913940