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12390900 = 22352103401
BaseRepresentation
bin101111010001…
…000111110100
3212022112010020
4233101013310
511133002100
61121325140
7210215034
oct57210764
925275106
1012390900
116aa3515
1241967b0
13274abc2
1419078c4
15114b5a0
hexbd11f4

12390900 has 72 divisors (see below), whose sum is σ = 36289344. Its totient is φ = 3264000.

The previous prime is 12390887. The next prime is 12390919. The reversal of 12390900 is 909321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30700 + ... + 31100.

Almost surely, 212390900 is an apocalyptic number.

12390900 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 12390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144672).

12390900 is an abundant number, since it is smaller than the sum of its proper divisors (23898444).

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

12390900 is a wasteful number, since it uses less digits than its factorization.

12390900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 12390900 is about 3520.0710220108. The cubic root of 12390900 is about 231.4022712726.

The spelling of 12390900 in words is "twelve million, three hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 401 412 515 618 802 1030 1203 1236 1545 1604 2005 2060 2406 2575 3090 4010 4812 5150 6015 6180 7725 8020 10025 10300 12030 15450 20050 24060 30075 30900 40100 41303 60150 82606 120300 123909 165212 206515 247818 413030 495636 619545 826060 1032575 1239090 2065150 2478180 3097725 4130300 6195450 12390900