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13914072 = 2333371741
BaseRepresentation
bin110101000100…
…111111011000
3222011220112000
4311010333120
512030222242
61214121000
7226160544
oct65047730
928156460
1013914072
117943937
1247b0160
132b622a3
141bc2a24
15134ca4c
hexd44fd8

13914072 has 64 divisors (see below), whose sum is σ = 39717600. Its totient is φ = 4510080.

The previous prime is 13914059. The next prime is 13914073. The reversal of 13914072 is 27041931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13914073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122 + ... + 8862.

Almost surely, 213914072 is an apocalyptic number.

13914072 is a gapful number since it is divisible by the number (12) 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 13914072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858800).

13914072 is an abundant number, since it is smaller than the sum of its proper divisors (25803528).

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

13914072 is a wasteful number, since it uses less digits than its factorization.

13914072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1783 counting only the distinct ones).

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

The square root of 13914072 is about 3730.1571012492. The cubic root of 13914072 is about 240.5201219904.

The spelling of 13914072 in words is "thirteen million, nine hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1741 1998 2664 3482 3996 5223 6964 7992 10446 13928 15669 20892 31338 41784 47007 62676 64417 94014 125352 128834 188028 193251 257668 376056 386502 515336 579753 773004 1159506 1546008 1739259 2319012 3478518 4638024 6957036 13914072