Search a number
-
+
1364387480 = 23553212143
BaseRepresentation
bin101000101010010…
…1110011010011000
310112002100001202122
41101110232122120
510243240344410
6343215320412
745545050031
oct12124563230
93462301678
101364387480
11640185565
12320b20108
1318988cc91
14cd2c1a88
157ebace55
hex5152e698

1364387480 has 48 divisors (see below), whose sum is σ = 3129144480. Its totient is φ = 535413632.

The previous prime is 1364387477. The next prime is 1364387501. The reversal of 1364387480 is 847834631.

It is a congruent number.

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, 106289 + ... + 118431.

It is an arithmetic number, because the mean of its divisors is an integer number (65190510).

Almost surely, 21364387480 is an apocalyptic number.

1364387480 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 1364387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564572240).

1364387480 is an abundant number, since it is smaller than the sum of its proper divisors (1764757000).

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

1364387480 is a wasteful number, since it uses less digits than its factorization.

1364387480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 1364387480 is about 36937.6160573473. The cubic root of 1364387480 is about 1109.1218008465.

The spelling of 1364387480 in words is "one billion, three hundred sixty-four million, three hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2809 5618 11236 12143 14045 22472 24286 28090 48572 56180 60715 97144 112360 121430 242860 485720 643579 1287158 2574316 3217895 5148632 6435790 12871580 25743160 34109687 68219374 136438748 170548435 272877496 341096870 682193740 1364387480