Search a number
-
+
2661799140 = 223257112131779
BaseRepresentation
bin1001111010100111…
…1101010011100100
320212111122101222100
42132221331103210
520422410033030
61120043332100
7122650630230
oct23651752344
96774571870
102661799140
111146575100
12623521030
133355ccaa0
141b372b5c0
15108a3b360
hex9ea7d4e4

2661799140 has 864 divisors, whose sum is σ = 11711831040. Its totient is φ = 474439680.

The previous prime is 2661799079. The next prime is 2661799141. The reversal of 2661799140 is 419971662.

2661799140 is a `hidden beast` number, since 26 + 617 + 9 + 9 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2661799141) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33693621 + ... + 33693699.

It is an arithmetic number, because the mean of its divisors is an integer number (13555360).

Almost surely, 22661799140 is an apocalyptic number.

2661799140 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 2661799140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855915520).

2661799140 is an abundant number, since it is smaller than the sum of its proper divisors (9050031900).

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

2661799140 is a wasteful number, since it uses less digits than its factorization.

2661799140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2661799140 is about 51592.6267987975. The cubic root of 2661799140 is about 1385.8782961919.

The spelling of 2661799140 in words is "two billion, six hundred sixty-one million, seven hundred ninety-nine thousand, one hundred forty".