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12391400 = 2352753167
BaseRepresentation
bin101111010001…
…001111101000
3212022112210202
4233101033220
511133011100
61121331332
7210216350
oct57211750
925275722
1012391400
116aa392a
124196b48
13274b1b8
141907b60
15114b7d5
hexbd13e8

12391400 has 96 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4143360.

The previous prime is 12391399. The next prime is 12391403. The reversal of 12391400 is 419321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12391403) 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, 74117 + ... + 74283.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 212391400 is an apocalyptic number.

12391400 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 12391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

12391400 is an abundant number, since it is smaller than the sum of its proper divisors (21356440).

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

12391400 is a wasteful number, since it uses less digits than its factorization.

12391400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12391400 is about 3520.1420425886. The cubic root of 12391400 is about 231.4053837605.

The spelling of 12391400 in words is "twelve million, three hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 167 175 200 212 265 280 334 350 371 424 530 668 700 742 835 1060 1169 1325 1336 1400 1484 1670 1855 2120 2338 2650 2968 3340 3710 4175 4676 5300 5845 6680 7420 8350 8851 9275 9352 10600 11690 14840 16700 17702 18550 23380 29225 33400 35404 37100 44255 46760 58450 61957 70808 74200 88510 116900 123914 177020 221275 233800 247828 309785 354040 442550 495656 619570 885100 1239140 1548925 1770200 2478280 3097850 6195700 12391400