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12948740 = 2257273181
BaseRepresentation
bin110001011001…
…010100000100
3220100212022222
4301121110010
511303324430
61141311512
7215030300
oct61312404
926325288
1012948740
117344642
124405598
1328b4a9c
141a10d00
15120b9e5
hexc59504

12948740 has 72 divisors (see below), whose sum is σ = 32242392. Its totient is φ = 4354560.

The previous prime is 12948739. The next prime is 12948757. The reversal of 12948740 is 4784921.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 12945604 = 56^2 + 3598^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12948740.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71450 + ... + 71630.

It is an arithmetic number, because the mean of its divisors is an integer number (447811).

Almost surely, 212948740 is an apocalyptic number.

12948740 is a gapful number since it is divisible by the number (10) 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 12948740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121196).

12948740 is an abundant number, since it is smaller than the sum of its proper divisors (19293652).

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

12948740 is a wasteful number, since it uses less digits than its factorization.

12948740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 12948740 is about 3598.4357712762. The cubic root of 12948740 is about 234.8240118927.

The spelling of 12948740 in words is "twelve million, nine hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 181 196 245 292 362 365 490 511 724 730 905 980 1022 1267 1460 1810 2044 2534 2555 3577 3620 5068 5110 6335 7154 8869 10220 12670 13213 14308 17738 17885 25340 26426 35476 35770 44345 52852 66065 71540 88690 92491 132130 177380 184982 264260 369964 462455 647437 924910 1294874 1849820 2589748 3237185 6474370 12948740