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4092920 = 2351317463
BaseRepresentation
bin1111100111001111111000
321200221102122
433213033320
52021433140
6223420412
746534466
oct17471770
97627378
104092920
112346087
121454708
13b03c60
14787836
1555cab5
hex3e73f8

4092920 has 64 divisors (see below), whose sum is σ = 10523520. Its totient is φ = 1419264.

The previous prime is 4092887. The next prime is 4092931. The reversal of 4092920 is 292904.

4092920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4092920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8609 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

Almost surely, 24092920 is an apocalyptic number.

4092920 is a gapful number since it is divisible by the number (40) 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 4092920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261760).

4092920 is an abundant number, since it is smaller than the sum of its proper divisors (6430600).

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

4092920 is a wasteful number, since it uses less digits than its factorization.

4092920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4092920 is about 2023.0966363474. The cubic root of 4092920 is about 159.9598857770.

The spelling of 4092920 in words is "four million, ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 463 520 680 884 926 1105 1768 1852 2210 2315 3704 4420 4630 6019 7871 8840 9260 12038 15742 18520 24076 30095 31484 39355 48152 60190 62968 78710 102323 120380 157420 204646 240760 314840 409292 511615 818584 1023230 2046460 4092920