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7139920 = 245312879
BaseRepresentation
bin11011001111001001010000
3111102202010111
4123033021100
53311434140
6413011104
7114455044
oct33171120
914382114
107139920
114037367
122483a94
13162cb08
14d3c024
159607ea
hex6cf250

7139920 has 40 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 2762880.

The previous prime is 7139917. The next prime is 7139933. The reversal of 7139920 is 299317.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 3919.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 27139920 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 7139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

7139920 is an abundant number, since it is smaller than the sum of its proper divisors (10001840).

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

7139920 is a wasteful number, since it uses less digits than its factorization.

7139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 7139920 is about 2672.0628735118. The cubic root of 7139920 is about 192.5592778594.

The spelling of 7139920 in words is "seven million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 2879 5758 11516 14395 23032 28790 46064 57580 89249 115160 178498 230320 356996 446245 713992 892490 1427984 1784980 3569960 7139920