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13073940 = 22335113171
BaseRepresentation
bin110001110111…
…111000010100
3220121020002000
4301313320110
511321331230
61144115300
7216061305
oct61677024
926536060
1013073940
11741a710
124465b30
132929a79
141a447ac
151233b60
hexc77e14

13073940 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 3024000.

The previous prime is 13073939. The next prime is 13073989. The reversal of 13073940 is 4937031.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 184105 + ... + 184175.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 213073940 is an apocalyptic number.

13073940 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 13073940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13073940 is an abundant number, since it is smaller than the sum of its proper divisors (33374700).

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

13073940 is a wasteful number, since it uses less digits than its factorization.

13073940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13073940 is about 3615.7903700298. The cubic root of 13073940 is about 235.5784152030.

The spelling of 13073940 in words is "thirteen million, seventy-three thousand, nine hundred forty".