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13076370 = 2335192549
BaseRepresentation
bin110001111000…
…011110010010
3220121100102000
4301320132102
511321420440
61144134430
7216101346
oct61703622
926540360
1013076370
11742151a
124467416
13292abc8
141a45626
151234730
hexc78792

13076370 has 64 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 3302208.

The previous prime is 13076353. The next prime is 13076377. The reversal of 13076370 is 7367031.

13076370 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13076377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3856 + ... + 6404.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 213076370 is an apocalyptic number.

13076370 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 13076370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

13076370 is an abundant number, since it is smaller than the sum of its proper divisors (23643630).

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

13076370 is a wasteful number, since it uses less digits than its factorization.

13076370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 13076370 is about 3616.1263805348. The cubic root of 13076370 is about 235.5930096325.

The spelling of 13076370 in words is "thirteen million, seventy-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2549 2565 5098 5130 7647 12745 15294 22941 25490 38235 45882 48431 68823 76470 96862 114705 137646 145293 229410 242155 290586 344115 435879 484310 688230 726465 871758 1307637 1452930 2179395 2615274 4358790 6538185 13076370