Search a number
-
+
13799052 = 2233671907
BaseRepresentation
bin110100101000…
…111010001100
3221222001202000
4310220322030
512013032202
61211432300
7225201321
oct64507214
927861660
1013799052
117875483
124755690
132b21b27
141b92b48
15132891c
hexd28e8c

13799052 has 48 divisors (see below), whose sum is σ = 36328320. Its totient is φ = 4528656.

The previous prime is 13799021. The next prime is 13799069. The reversal of 13799052 is 25099731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13798998 and 13799016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6283 + ... + 8189.

It is an arithmetic number, because the mean of its divisors is an integer number (756840).

Almost surely, 213799052 is an apocalyptic number.

13799052 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 13799052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164160).

13799052 is an abundant number, since it is smaller than the sum of its proper divisors (22529268).

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

13799052 is a wasteful number, since it uses less digits than its factorization.

13799052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13799052 is about 3714.7075254991. The cubic root of 13799052 is about 239.8555380622.

The spelling of 13799052 in words is "thirteen million, seven hundred ninety-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 1907 2412 3618 3814 5721 7236 7628 11442 17163 22884 34326 51489 68652 102978 127769 205956 255538 383307 511076 766614 1149921 1533228 2299842 3449763 4599684 6899526 13799052