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390260200 = 235211533347
BaseRepresentation
bin10111010000101…
…110010111101000
31000012100021100111
4113100232113220
51244401311300
6102420344104
712446104561
oct2720562750
91005307314
10390260200
111903232a0
12aa845034
1362b112c5
1439b8b168
15243dc9ba
hex1742e5e8

390260200 has 96 divisors (see below), whose sum is σ = 1008819360. Its totient is φ = 139193600.

The previous prime is 390260191. The next prime is 390260207. The reversal of 390260200 is 2062093.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (390260207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114927 + ... + 118273.

It is an arithmetic number, because the mean of its divisors is an integer number (10508535).

Almost surely, 2390260200 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 390260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504409680).

390260200 is an abundant number, since it is smaller than the sum of its proper divisors (618559160).

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

390260200 is a wasteful number, since it uses less digits than its factorization.

390260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 390260200 is about 19755.0044292579. The cubic root of 390260200 is about 730.7768049219.

The spelling of 390260200 in words is "three hundred ninety million, two hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2915 3347 4664 5300 5830 6694 10600 11660 13388 14575 16735 23320 26776 29150 33470 36817 58300 66940 73634 83675 116600 133880 147268 167350 177391 184085 294536 334700 354782 368170 669400 709564 736340 886955 920425 1419128 1472680 1773910 1840850 1951301 3547820 3681700 3902602 4434775 7095640 7363400 7805204 8869550 9756505 15610408 17739100 19513010 35478200 39026020 48782525 78052040 97565050 195130100 390260200