Search a number
-
+
8370420 = 2235612287
BaseRepresentation
bin11111111011100011110100
3120202021001120
4133323203310
54120323140
6455223540
7131101362
oct37734364
916667046
108370420
1147a7903
122977bb0
131970c16
14117c632
15b051d0
hex7fb8f4

8370420 has 48 divisors (see below), whose sum is σ = 23831808. Its totient is φ = 2194560.

The previous prime is 8370407. The next prime is 8370433. The reversal of 8370420 is 240738.

8370420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8370407) and next prime (8370433).

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, 2517 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 28370420 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 8370420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915904).

8370420 is an abundant number, since it is smaller than the sum of its proper divisors (15461388).

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

8370420 is a wasteful number, since it uses less digits than its factorization.

8370420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8370420 is about 2893.1678140060. The cubic root of 8370420 is about 203.0403795850.

The spelling of 8370420 in words is "eight million, three hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2287 3660 4574 6861 9148 11435 13722 22870 27444 34305 45740 68610 137220 139507 279014 418521 558028 697535 837042 1395070 1674084 2092605 2790140 4185210 8370420