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13920174 = 234292963
BaseRepresentation
bin110101000110…
…011110101110
3222012012220000
4311012132232
512030421144
61214205130
7226214412
oct65063656
928165800
1013920174
117948484
1247b37a6
132b64cb8
141bc4d42
15134e769
hexd467ae

13920174 has 40 divisors (see below), whose sum is σ = 32277960. Its totient is φ = 4478544.

The previous prime is 13920163. The next prime is 13920187. The reversal of 13920174 is 47102931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3217 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (806949).

Almost surely, 213920174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13920174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138980).

13920174 is an abundant number, since it is smaller than the sum of its proper divisors (18357786).

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

13920174 is a wasteful number, since it uses less digits than its factorization.

13920174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13920174 is about 3730.9749396103. The cubic root of 13920174 is about 240.5552767912. Note that the first 3 decimals are identical.

The spelling of 13920174 in words is "thirteen million, nine hundred twenty thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 2963 4698 5926 8889 17778 26667 53334 80001 85927 160002 171854 240003 257781 480006 515562 773343 1546686 2320029 4640058 6960087 13920174