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13923672 = 2337671237
BaseRepresentation
bin110101000111…
…010101011000
3222012101200120
4311013111120
512031024142
61214233240
7226230540
oct65072530
928171616
1013923672
117950074
1247b5820
132b66779
141bc6320
1513507ec
hexd47558

13923672 has 64 divisors (see below), whose sum is σ = 40408320. Its totient is φ = 3915648.

The previous prime is 13923667. The next prime is 13923673. The reversal of 13923672 is 27632931.

It is a happy number.

13923672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923673) 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, 10638 + ... + 11874.

It is an arithmetic number, because the mean of its divisors is an integer number (631380).

Almost surely, 213923672 is an apocalyptic number.

13923672 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 13923672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204160).

13923672 is an abundant number, since it is smaller than the sum of its proper divisors (26484648).

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

13923672 is a wasteful number, since it uses less digits than its factorization.

13923672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 13923672 is about 3731.4436884402. The cubic root of 13923672 is about 240.5754248125.

The spelling of 13923672 in words is "thirteen million, nine hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1237 1407 1608 1876 2474 2814 3711 3752 4948 5628 7422 8659 9896 11256 14844 17318 25977 29688 34636 51954 69272 82879 103908 165758 207816 248637 331516 497274 580153 663032 994548 1160306 1740459 1989096 2320612 3480918 4641224 6961836 13923672