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13374700 = 2252791693
BaseRepresentation
bin110011000001…
…010011101100
3221011111122021
4303001103230
511410442300
61154355524
7221453203
oct63012354
927144567
1013374700
117605679
12458bba4
132a03931
141ac223a
151292d1a
hexcc14ec

13374700 has 36 divisors (see below), whose sum is σ = 29407840. Its totient is φ = 5279040.

The previous prime is 13374667. The next prime is 13374721. The reversal of 13374700 is 747331.

It is a happy number.

It is a super-3 number, since 3×133747003 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 7054 + ... + 8746.

Almost surely, 213374700 is an apocalyptic number.

13374700 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 13374700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703920).

13374700 is an abundant number, since it is smaller than the sum of its proper divisors (16033140).

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

13374700 is a wasteful number, since it uses less digits than its factorization.

13374700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 13374700 is about 3657.1436941963. The cubic root of 13374700 is about 237.3711951617.

The spelling of 13374700 in words is "thirteen million, three hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1693 1975 3386 3950 6772 7900 8465 16930 33860 42325 84650 133747 169300 267494 534988 668735 1337470 2674940 3343675 6687350 13374700