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12399400 = 23521319251
BaseRepresentation
bin101111010011…
…001100101000
3212022221210001
4233103030220
511133240100
61121432344
7210251566
oct57231450
925287701
1012399400
116aa9942
12419b6b4
132751a30
14190aa36
15114dd6a
hexbd3328

12399400 has 96 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 4320000.

The previous prime is 12399397. The next prime is 12399407. The reversal of 12399400 is 499321.

It is a happy number.

12399400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12399407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49275 + ... + 49525.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 212399400 is an apocalyptic number.

12399400 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 12399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

12399400 is an abundant number, since it is smaller than the sum of its proper divisors (20411000).

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

12399400 is a wasteful number, since it uses less digits than its factorization.

12399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 12399400 is about 3521.2781770261. The cubic root of 12399400 is about 231.4551721842.

It can be divided in two parts, 1 and 2399400, that added together give a square (2399401 = 15492).

The spelling of 12399400 in words is "twelve million, three hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 251 260 325 380 475 494 502 520 650 760 950 988 1004 1235 1255 1300 1900 1976 2008 2470 2510 2600 3263 3800 4769 4940 5020 6175 6275 6526 9538 9880 10040 12350 12550 13052 16315 19076 23845 24700 25100 26104 32630 38152 47690 49400 50200 61997 65260 81575 95380 119225 123994 130520 163150 190760 238450 247988 309985 326300 476900 495976 619970 652600 953800 1239940 1549925 2479880 3099850 6199700 12399400