Search a number
-
+
2421661320 = 23335131371259
BaseRepresentation
bin1001000001010111…
…1001111010001000
320020202210010211000
42100111321322020
514424421130240
61040144335000
7114003532041
oct22025717210
96222703730
102421661320
111032a67aa1
12577014460
132c79312c0
1418d89b8c8
15e2904430
hex90579e88

2421661320 has 256 divisors, whose sum is σ = 8763552000. Its totient is φ = 591280128.

The previous prime is 2421661301. The next prime is 2421661337. The reversal of 2421661320 is 231661242.

2421661320 is a `hidden beast` number, since 2 + 4 + 21 + 6 + 613 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922851 + ... + 1924109.

It is an arithmetic number, because the mean of its divisors is an integer number (34232625).

Almost surely, 22421661320 is an apocalyptic number.

2421661320 is a gapful number since it is divisible by the number (20) 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 2421661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381776000).

2421661320 is an abundant number, since it is smaller than the sum of its proper divisors (6341890680).

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

2421661320 is a wasteful number, since it uses less digits than its factorization.

2421661320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2421661320 is about 49210.3781737145. The cubic root of 2421661320 is about 1342.8818426335.

The spelling of 2421661320 in words is "two billion, four hundred twenty-one million, six hundred sixty-one thousand, three hundred twenty".