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13900338 = 2322931859
BaseRepresentation
bin110101000001…
…101000110010
3222011012200100
4311001220302
512024302323
61213533230
7226102524
oct65015062
928135610
1013900338
117934591
1247a4216
132b58c6a
141bbba14
151348943
hexd41a32

13900338 has 48 divisors (see below), whose sum is σ = 32198400. Its totient is φ = 4324320.

The previous prime is 13900333. The next prime is 13900357. The reversal of 13900338 is 83300931.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13900331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15753 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (670800).

Almost surely, 213900338 is an apocalyptic number.

13900338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099200).

13900338 is an abundant number, since it is smaller than the sum of its proper divisors (18298062).

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

13900338 is a wasteful number, since it uses less digits than its factorization.

13900338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13900338 is about 3728.3157055164. The cubic root of 13900338 is about 240.4409601461.

It can be divided in two parts, 1390033 and 8, that added together give a square (1390041 = 11792).

The spelling of 13900338 in words is "thirteen million, nine hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 859 899 1718 1798 2577 2697 5154 5394 7731 8091 15462 16182 24911 26629 49822 53258 74733 79887 149466 159774 224199 239661 448398 479322 772241 1544482 2316723 4633446 6950169 13900338