Search a number
-
+
8364420 = 22325311499
BaseRepresentation
bin11111111010000110000100
3120201221211100
4133322012010
54120130140
6455140100
7131045031
oct37720604
916657740
108364420
1147a3349
122974630
13196b27c
14117a388
15b03530
hex7fa184

8364420 has 72 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 2157120.

The previous prime is 8364379. The next prime is 8364431. The reversal of 8364420 is 244638.

8364420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4831 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (364000).

Almost surely, 28364420 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 8364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

8364420 is an abundant number, since it is smaller than the sum of its proper divisors (17843580).

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

8364420 is a wasteful number, since it uses less digits than its factorization.

8364420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8364420 is about 2892.1307024407. The cubic root of 8364420 is about 202.9918542033.

The spelling of 8364420 in words is "eight million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1499 1860 2790 2998 4497 5580 5996 7495 8994 13491 14990 17988 22485 26982 29980 44970 46469 53964 67455 89940 92938 134910 139407 185876 232345 269820 278814 418221 464690 557628 697035 836442 929380 1394070 1672884 2091105 2788140 4182210 8364420