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13374720 = 2835543
BaseRepresentation
bin110011000001…
…010100000000
3221011111200000
4303001110000
511410442340
61154400000
7221453232
oct63012400
927144600
1013374720
117605697
124590000
132a03948
141ac2252
151292d30
hexcc1500

13374720 has 216 divisors, whose sum is σ = 49105056. Its totient is φ = 3483648.

The previous prime is 13374667. The next prime is 13374721. The reversal of 13374720 is 2747331.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311019 + ... + 311061.

Almost surely, 213374720 is an apocalyptic number.

13374720 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 13374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552528).

13374720 is an abundant number, since it is smaller than the sum of its proper divisors (35730336).

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

13374720 is an frugal number, since it uses more digits than its factorization.

13374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13374720 is about 3657.1464285697. The cubic root of 13374720 is about 237.3713134802.

The spelling of 13374720 in words is "thirteen million, three hundred seventy-four thousand, seven hundred twenty".