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13004370 = 23251311103
BaseRepresentation
bin110001100110…
…111001010010
3220110200122100
4301212321102
511312114440
61142421230
7215351421
oct61467122
926420570
1013004370
117382415
124431816
1329041c2
141a272b8
15121d230
hexc66e52

13004370 has 48 divisors (see below), whose sum is σ = 34100352. Its totient is φ = 3438240.

The previous prime is 13004363. The next prime is 13004377. The reversal of 13004370 is 7340031.

13004370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13004363) and next prime (13004377).

It is a super-2 number, since 2×130043702 = 338227278193800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13004377) 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, 11239 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (710424).

Almost surely, 213004370 is an apocalyptic number.

13004370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050176).

13004370 is an abundant number, since it is smaller than the sum of its proper divisors (21095982).

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

13004370 is a wasteful number, since it uses less digits than its factorization.

13004370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13004370 is about 3606.1572345088. The cubic root of 13004370 is about 235.1598128270.

The spelling of 13004370 in words is "thirteen million, four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1103 1179 1310 1965 2206 2358 3309 3930 5515 5895 6618 9927 11030 11790 16545 19854 33090 49635 99270 144493 288986 433479 722465 866958 1300437 1444930 2167395 2600874 4334790 6502185 13004370