Search a number
-
+
1468047360 = 2133513919
BaseRepresentation
bin101011110000000…
…1010000000000000
310210022101112101110
41113200022000000
511001310003420
6401401203320
751244124313
oct12740120000
93708345343
101468047360
1169374678a
1234b790540
131a51b55a0
14dcd8697a
1588d36ee0
hex5780a000

1468047360 has 224 divisors, whose sum is σ = 5064312960. Its totient is φ = 360972288.

The previous prime is 1468047337. The next prime is 1468047389. The reversal of 1468047360 is 637408641.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1596981 + ... + 1597899.

It is an arithmetic number, because the mean of its divisors is an integer number (22608540).

Almost surely, 21468047360 is an apocalyptic number.

1468047360 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 1468047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532156480).

1468047360 is an abundant number, since it is smaller than the sum of its proper divisors (3596265600).

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

1468047360 is an equidigital number, since it uses as much as digits as its factorization.

1468047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1468047360 is about 38315.1061593205. The cubic root of 1468047360 is about 1136.5276924180.

The spelling of 1468047360 in words is "one billion, four hundred sixty-eight million, forty-seven thousand, three hundred sixty".