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13372400 = 2452101331
BaseRepresentation
bin110011000000…
…101111110000
3221011101111002
4303000233300
511410404100
61154341132
7221443406
oct63005760
927141432
1013372400
117603978
12458a7a8
132a02882
141ac1476
1512922d5
hexcc0bf0

13372400 has 60 divisors (see below), whose sum is σ = 32543304. Its totient is φ = 5280000.

The previous prime is 13372363. The next prime is 13372427. The reversal of 13372400 is 427331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40235 + ... + 40565.

Almost surely, 213372400 is an apocalyptic number.

13372400 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 13372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271652).

13372400 is an abundant number, since it is smaller than the sum of its proper divisors (19170904).

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

13372400 is a wasteful number, since it uses less digits than its factorization.

13372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13372400 is about 3656.8292276233. The cubic root of 13372400 is about 237.3575877525.

Adding to 13372400 its reverse (427331), we get a palindrome (13799731).

The spelling of 13372400 in words is "thirteen million, three hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 331 400 404 505 662 808 1010 1324 1616 1655 2020 2525 2648 3310 4040 5050 5296 6620 8080 8275 10100 13240 16550 20200 26480 33100 33431 40400 66200 66862 132400 133724 167155 267448 334310 534896 668620 835775 1337240 1671550 2674480 3343100 6686200 13372400