Search a number
-
+
1868064200 = 235246120261
BaseRepresentation
bin110111101011000…
…0110010111001000
311211012002111022222
41233112012113020
512311211023300
6505211033212
764202166212
oct15726062710
94735074288
101868064200
11879523312
1244173b808
1323a031742
1413a1535b2
15ae000785
hex6f5865c8

1868064200 has 48 divisors (see below), whose sum is σ = 4352885460. Its totient is φ = 745568000.

The previous prime is 1868064197. The next prime is 1868064217. The reversal of 1868064200 is 24608681.

It can be written as a sum of positive squares in 6 ways, for example, as 84015556 + 1784048644 = 9166^2 + 42238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82070 + ... + 102330.

Almost surely, 21868064200 is an apocalyptic number.

1868064200 is a gapful number since it is divisible by the number (10) 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 1868064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176442730).

1868064200 is an abundant number, since it is smaller than the sum of its proper divisors (2484821260).

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

1868064200 is a wasteful number, since it uses less digits than its factorization.

1868064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1868064200 is about 43221.1082689928. The cubic root of 1868064200 is about 1231.5837004237.

The spelling of 1868064200 in words is "one billion, eight hundred sixty-eight million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 9220 11525 18440 20261 23050 40522 46100 81044 92200 101305 162088 202610 405220 506525 810440 1013050 2026100 4052200 9340321 18680642 37361284 46701605 74722568 93403210 186806420 233508025 373612840 467016050 934032100 1868064200