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13923252 = 223472877
BaseRepresentation
bin110101000111…
…001110110100
3222012101010000
4311013032310
512031021002
61214231300
7226226400
oct65071664
928171100
1013923252
11794a822
1247b5530
132b66515
141bc6100
15135061c
hexd473b4

13923252 has 90 divisors (see below), whose sum is σ = 42388962. Its totient is φ = 3973536.

The previous prime is 13923251. The next prime is 13923253. The reversal of 13923252 is 25232931.

It is an interprime number because it is at equal distance from previous prime (13923251) and next prime (13923253).

It can be written as a sum of positive squares in only one way, i.e., 13351716 + 571536 = 3654^2 + 756^2 .

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 (13923251) 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 29 ways as a sum of consecutive naturals, for example, 15438 + ... + 16314.

Almost surely, 213923252 is an apocalyptic number.

13923252 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 13923252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194481).

13923252 is an abundant number, since it is smaller than the sum of its proper divisors (28465710).

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

13923252 is a wasteful number, since it uses less digits than its factorization.

13923252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13923252 is about 3731.3874095301. The cubic root of 13923252 is about 240.5730058458.

The spelling of 13923252 in words is "thirteen million, nine hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 877 882 1134 1323 1754 1764 2268 2631 2646 3508 3969 5262 5292 6139 7893 7938 10524 12278 15786 15876 18417 23679 24556 31572 36834 42973 47358 55251 71037 73668 85946 94716 110502 128919 142074 165753 171892 221004 257838 284148 331506 386757 497259 515676 663012 773514 994518 1160271 1547028 1989036 2320542 3480813 4641084 6961626 13923252