Search a number
-
+
7420820 = 2251189379
BaseRepresentation
bin11100010011101110010100
3111222000110012
4130103232110
53344431240
6423015352
7120035021
oct34235624
914860405
107420820
114209410
12259a558
1316ca924
14db2548
159b8b65
hex713b94

7420820 has 48 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 2661120.

The previous prime is 7420813. The next prime is 7420837. The reversal of 7420820 is 280247.

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, 19391 + ... + 19769.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 27420820 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 7420820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

7420820 is an abundant number, since it is smaller than the sum of its proper divisors (9815980).

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

7420820 is a wasteful number, since it uses less digits than its factorization.

7420820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 7420820 is about 2724.1182059522. The cubic root of 7420820 is about 195.0521009150.

The spelling of 7420820 in words is "seven million, four hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 379 445 758 890 979 1516 1780 1895 1958 3790 3916 4169 4895 7580 8338 9790 16676 19580 20845 33731 41690 67462 83380 134924 168655 337310 371041 674620 742082 1484164 1855205 3710410 7420820