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3920904 = 2332135971
BaseRepresentation
bin1110111101010000001000
321101012110200
432331100020
52000432104
6220012200
745220131
oct16752010
97335420
103920904
112238919
121391060
13a73880
14740c88
15526b39
hex3bd408

3920904 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1169280.

The previous prime is 3920899. The next prime is 3920909. The reversal of 3920904 is 4090293.

It is an interprime number because it is at equal distance from previous prime (3920899) and next prime (3920909).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3920909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55189 + ... + 55259.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 23920904 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 3920904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3920904 is an abundant number, since it is smaller than the sum of its proper divisors (7872696).

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

3920904 is a wasteful number, since it uses less digits than its factorization.

3920904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3920904 is about 1980.1272686370. The cubic root of 3920904 is about 157.6868229029.

The spelling of 3920904 in words is "three million, nine hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 71 72 78 104 117 118 142 156 177 213 234 236 284 312 354 426 468 472 531 568 639 708 767 852 923 936 1062 1278 1416 1534 1704 1846 2124 2301 2556 2769 3068 3692 4189 4248 4602 5112 5538 6136 6903 7384 8307 8378 9204 11076 12567 13806 16614 16756 18408 22152 25134 27612 33228 33512 37701 50268 54457 55224 66456 75402 100536 108914 150804 163371 217828 301608 326742 435656 490113 653484 980226 1306968 1960452 3920904