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12993600 = 263522707
BaseRepresentation
bin110001100100…
…010001000000
3220110010212110
4301210101000
511311243400
61142255320
7215305134
oct61442100
926403773
1012993600
117375314
124427540
1328cc329
141a233c4
151219e50
hexc64440

12993600 has 84 divisors (see below), whose sum is σ = 42645584. Its totient is φ = 3463680.

The previous prime is 12993599. The next prime is 12993601. The reversal of 12993600 is 639921.

It is an interprime number because it is at equal distance from previous prime (12993599) and next prime (12993601).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12993601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 6153.

Almost surely, 212993600 is an apocalyptic number.

12993600 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 12993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322792).

12993600 is an abundant number, since it is smaller than the sum of its proper divisors (29651984).

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

12993600 is a wasteful number, since it uses less digits than its factorization.

12993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 12993600 is about 3604.6636458899. The cubic root of 12993600 is about 235.0948764331.

The spelling of 12993600 in words is "twelve million, nine hundred ninety-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 2707 4800 5414 8121 10828 13535 16242 21656 27070 32484 40605 43312 54140 64968 67675 81210 86624 108280 129936 135350 162420 173248 203025 216560 259872 270700 324840 406050 433120 519744 541400 649680 812100 866240 1082800 1299360 1624200 2165600 2598720 3248400 4331200 6496800 12993600