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12401352 = 2332414201
BaseRepresentation
bin101111010011…
…101011001000
3212100001110100
4233103223020
511133320402
61121445400
7210260355
oct57235310
925301410
1012401352
117000357
1241a0860
1327528a2
14190b62c
15114e71c
hexbd3ac8

12401352 has 48 divisors (see below), whose sum is σ = 34414380. Its totient is φ = 4032000.

The previous prime is 12401351. The next prime is 12401369. The reversal of 12401352 is 25310421.

It can be written as a sum of positive squares in 2 ways, for example, as 8964036 + 3437316 = 2994^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12401351) 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 11 ways as a sum of consecutive naturals, for example, 852 + ... + 5052.

Almost surely, 212401352 is an apocalyptic number.

12401352 is a gapful number since it is divisible by the number (12) 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 12401352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207190).

12401352 is an abundant number, since it is smaller than the sum of its proper divisors (22013028).

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

12401352 is a wasteful number, since it uses less digits than its factorization.

12401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12401352 is about 3521.5553381993. Note that the first 3 decimals coincide. The cubic root of 12401352 is about 231.4673173092.

Adding to 12401352 its reverse (25310421), we get a palindrome (37711773).

The spelling of 12401352 in words is "twelve million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4201 8402 12603 16804 25206 33608 37809 50412 75618 100824 151236 172241 302472 344482 516723 688964 1033446 1377928 1550169 2066892 3100338 4133784 6200676 12401352