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12921700 = 22521117691
BaseRepresentation
bin110001010010…
…101101100100
3220022111020111
4301102231210
511301443300
61140542404
7214555411
oct61225544
926274214
1012921700
1173262a0
1243b1a04
1328a569c
141a05108
1512039ba
hexc52b64

12921700 has 72 divisors (see below), whose sum is σ = 32435424. Its totient is φ = 4416000.

The previous prime is 12921679. The next prime is 12921763. The reversal of 12921700 is 712921.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18355 + ... + 19045.

It is an arithmetic number, because the mean of its divisors is an integer number (450492).

Almost surely, 212921700 is an apocalyptic number.

12921700 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 12921700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217712).

12921700 is an abundant number, since it is smaller than the sum of its proper divisors (19513724).

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

12921700 is a wasteful number, since it uses less digits than its factorization.

12921700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 12921700 is about 3594.6766196697. The cubic root of 12921700 is about 234.6604421487.

It can be divided in two parts, 1292 and 1700, that added together give a palindrome (2992).

The spelling of 12921700 in words is "twelve million, nine hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 691 748 850 935 1100 1382 1700 1870 2764 3455 3740 4675 6910 7601 9350 11747 13820 15202 17275 18700 23494 30404 34550 38005 46988 58735 69100 76010 117470 129217 152020 190025 234940 258434 293675 380050 516868 587350 646085 760100 1174700 1292170 2584340 3230425 6460850 12921700