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13898952 = 233489241
BaseRepresentation
bin110101000001…
…010011001000
3222011010210000
4311001103020
512024231302
61213523000
7226065504
oct65012310
928133700
1013898952
117933541
1247a3460
132b58442
141bbb304
15134831c
hexd414c8

13898952 has 80 divisors (see below), whose sum is σ = 39530700. Its totient is φ = 4561920.

The previous prime is 13898947. The next prime is 13898953. The reversal of 13898952 is 25989831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 15876 = 3726^2 + 126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13898898 and 13898907.

It is not an unprimeable number, because it can be changed into a prime (13898953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57552 + ... + 57792.

Almost surely, 213898952 is an apocalyptic number.

13898952 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 13898952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765350).

13898952 is an abundant number, since it is smaller than the sum of its proper divisors (25631748).

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

13898952 is a wasteful number, since it uses less digits than its factorization.

13898952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 13898952 is about 3728.1298260656. The cubic root of 13898952 is about 240.4329684400.

The spelling of 13898952 in words is "thirteen million, eight hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 241 267 324 356 482 534 648 712 723 801 964 1068 1446 1602 1928 2136 2169 2403 2892 3204 4338 4806 5784 6408 6507 7209 8676 9612 13014 14418 17352 19224 19521 21449 26028 28836 39042 42898 52056 57672 64347 78084 85796 128694 156168 171592 193041 257388 386082 514776 579123 772164 1158246 1544328 1737369 2316492 3474738 4632984 6949476 13898952