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12890340 = 2234573109
BaseRepresentation
bin110001001011…
…000011100100
3220020220020000
4301023003210
511244442330
61140141300
7214365111
oct61130344
926226200
1012890340
117304781
124397830
132894328
1419d7908
1511e9560
hexc4b0e4

12890340 has 120 divisors (see below), whose sum is σ = 41367480. Its totient is φ = 3359232.

The previous prime is 12890323. The next prime is 12890363. The reversal of 12890340 is 4309821.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 10381284 = 1584^2 + 3222^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118206 + ... + 118314.

It is an arithmetic number, because the mean of its divisors is an integer number (344729).

Almost surely, 212890340 is an apocalyptic number.

12890340 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 12890340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20683740).

12890340 is an abundant number, since it is smaller than the sum of its proper divisors (28477140).

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

12890340 is a wasteful number, since it uses less digits than its factorization.

12890340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12890340 is about 3590.3119641613. The cubic root of 12890340 is about 234.4704539192.

The spelling of 12890340 in words is "twelve million, eight hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 109 135 146 162 180 218 219 270 292 324 327 365 405 436 438 540 545 654 657 730 810 876 981 1090 1095 1308 1314 1460 1620 1635 1962 1971 2180 2190 2628 2943 3270 3285 3924 3942 4380 4905 5886 5913 6540 6570 7884 7957 8829 9810 9855 11772 11826 13140 14715 15914 17658 19620 19710 23652 23871 29430 29565 31828 35316 39420 39785 44145 47742 58860 59130 71613 79570 88290 95484 118260 119355 143226 159140 176580 214839 238710 286452 358065 429678 477420 644517 716130 859356 1074195 1289034 1432260 2148390 2578068 3222585 4296780 6445170 12890340