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12401300 = 22521961107
BaseRepresentation
bin101111010011…
…101010010100
3212100001101102
4233103222110
511133320200
61121445232
7210260252
oct57235224
925301342
1012401300
11700030a
1241a0818
132752862
14190b5d2
15114e6d5
hexbd3a94

12401300 has 72 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 4579200.

The previous prime is 12401293. The next prime is 12401309. The reversal of 12401300 is 310421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401309) by changing a digit.

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, 115847 + ... + 115953.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 212401300 is an apocalyptic number.

12401300 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 12401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

12401300 is an abundant number, since it is smaller than the sum of its proper divisors (16659340).

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

12401300 is a wasteful number, since it uses less digits than its factorization.

12401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12401300 is about 3521.5479550902. The cubic root of 12401300 is about 231.4669937876.

Adding to 12401300 its reverse (310421), we get a palindrome (12711721).

The spelling of 12401300 in words is "twelve million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 107 122 190 214 244 305 380 428 475 535 610 950 1070 1159 1220 1525 1900 2033 2140 2318 2675 3050 4066 4636 5350 5795 6100 6527 8132 10165 10700 11590 13054 20330 23180 26108 28975 32635 40660 50825 57950 65270 101650 115900 124013 130540 163175 203300 248026 326350 496052 620065 652700 1240130 2480260 3100325 6200650 12401300