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2792420 = 2251743191
BaseRepresentation
bin1010101001101111100100
312020212110222
422221233210
51203324140
6135503512
732510111
oct12515744
95225428
102792420
111637a94
12b27b98
1376a027
14529908
153a25b5
hex2a9be4

2792420 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 1021440.

The previous prime is 2792401. The next prime is 2792423. The reversal of 2792420 is 242972.

2792420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2792420.

It is not an unprimeable number, because it can be changed into a prime (2792423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14525 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

22792420 is an apocalyptic number.

2792420 is a gapful number since it is divisible by the number (20) 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 2792420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2792420 is an abundant number, since it is smaller than the sum of its proper divisors (3594268).

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

2792420 is a wasteful number, since it uses less digits than its factorization.

2792420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2792420 is about 1671.0535598837. The cubic root of 2792420 is about 140.8186727344.

The spelling of 2792420 in words is "two million, seven hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 191 215 340 382 430 731 764 860 955 1462 1910 2924 3247 3655 3820 6494 7310 8213 12988 14620 16235 16426 32470 32852 41065 64940 82130 139621 164260 279242 558484 698105 1396210 2792420