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12995400 = 23352112179
BaseRepresentation
bin110001100100…
…101101001000
3220110020100010
4301210231020
511311323100
61142311520
7215313315
oct61445510
926406303
1012995400
117376700
1244285a0
1329000b2
141a23d0c
15121a750
hexc64b48

12995400 has 144 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 3132800.

The previous prime is 12995377. The next prime is 12995413. The reversal of 12995400 is 459921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72511 + ... + 72689.

It is an arithmetic number, because the mean of its divisors is an integer number (309225).

Almost surely, 212995400 is an apocalyptic number.

12995400 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 12995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

12995400 is an abundant number, since it is smaller than the sum of its proper divisors (31533000).

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

12995400 is a wasteful number, since it uses less digits than its factorization.

12995400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12995400 is about 3604.9133137983. The cubic root of 12995400 is about 235.1057318091.

The spelling of 12995400 in words is "twelve million, nine hundred ninety-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 179 200 220 242 264 275 300 330 358 363 440 484 537 550 600 605 660 716 726 825 895 968 1074 1100 1210 1320 1432 1452 1650 1790 1815 1969 2148 2200 2420 2685 2904 3025 3300 3580 3630 3938 4296 4475 4840 5370 5907 6050 6600 7160 7260 7876 8950 9075 9845 10740 11814 12100 13425 14520 15752 17900 18150 19690 21480 21659 23628 24200 26850 29535 35800 36300 39380 43318 47256 49225 53700 59070 64977 72600 78760 86636 98450 107400 108295 118140 129954 147675 173272 196900 216590 236280 259908 295350 324885 393800 433180 519816 541475 590700 649770 866360 1082950 1181400 1299540 1624425 2165900 2599080 3248850 4331800 6497700 12995400