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13268070 = 2335157313
BaseRepresentation
bin110010100111…
…010001100110
3220222002101000
4302213101212
511344034240
61152214130
7220530264
oct62472146
926862330
1013268070
117542552
12453a346
13299723a
141a95434
151271430
hexca7466

13268070 has 64 divisors (see below), whose sum is σ = 35720640. Its totient is φ = 3504384.

The previous prime is 13268063. The next prime is 13268083. The reversal of 13268070 is 7086231.

13268070 is digitally balanced in base 2, because in such base 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42234 + ... + 42546.

It is an arithmetic number, because the mean of its divisors is an integer number (558135).

Almost surely, 213268070 is an apocalyptic number.

13268070 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 13268070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860320).

13268070 is an abundant number, since it is smaller than the sum of its proper divisors (22452570).

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

13268070 is a wasteful number, since it uses less digits than its factorization.

13268070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13268070 is about 3642.5362043499. The cubic root of 13268070 is about 236.7386961430.

The spelling of 13268070 in words is "thirteen million, two hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 313 314 471 626 785 939 942 1413 1565 1570 1878 2355 2817 2826 3130 4239 4695 4710 5634 7065 8451 8478 9390 14085 14130 16902 21195 28170 42255 42390 49141 84510 98282 147423 245705 294846 442269 491410 737115 884538 1326807 1474230 2211345 2653614 4422690 6634035 13268070