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12401152 = 2953457
BaseRepresentation
bin101111010011…
…101000000000
3212100001011221
4233103220000
511133314102
61121444424
7210256651
oct57235000
925301157
1012401152
117000195
1241a0714
13275277a
14190b528
15114e637
hexbd3a00

12401152 has 40 divisors (see below), whose sum is σ = 25300836. Its totient is φ = 6070272.

The previous prime is 12401149. The next prime is 12401153. The reversal of 12401152 is 25110421.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 1218816 = 3344^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12401153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26908 + ... + 27364.

Almost surely, 212401152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650418).

12401152 is an abundant number, since it is smaller than the sum of its proper divisors (12899684).

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

12401152 is an frugal number, since it uses more digits than its factorization.

12401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12401152 is about 3521.5269415411. The cubic root of 12401152 is about 231.4660729903.

Adding to 12401152 its reverse (25110421), we get a palindrome (37511573).

The spelling of 12401152 in words is "twelve million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 457 512 848 914 1696 1828 3392 3656 6784 7312 13568 14624 24221 27136 29248 48442 58496 96884 116992 193768 233984 387536 775072 1550144 3100288 6200576 12401152