Search a number
-
+
2896230960 = 2432571972917
BaseRepresentation
bin1010110010100000…
…1111101000110000
321110211202202222100
42230220033220300
521412413342320
61155220140400
7131525362020
oct25450175060
97424682870
102896230960
111256935207
12689b37700
1337205133c
141d6913a80
1511e3e7790
hexaca0fa30

2896230960 has 240 divisors, whose sum is σ = 11176266816. Its totient is φ = 658409472.

The previous prime is 2896230949. The next prime is 2896230973. The reversal of 2896230960 is 690326982.

2896230960 is a `hidden beast` number, since 289 + 6 + 2 + 309 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×28962309604 (a number of 39 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991422 + ... + 994338.

Almost surely, 22896230960 is an apocalyptic number.

2896230960 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 2896230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588133408).

2896230960 is an abundant number, since it is smaller than the sum of its proper divisors (8280035856).

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

2896230960 is a wasteful number, since it uses less digits than its factorization.

2896230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2896230960 is about 53816.6420357123. The cubic root of 2896230960 is about 1425.4250846322.

The spelling of 2896230960 in words is "two billion, eight hundred ninety-six million, two hundred thirty thousand, nine hundred sixty".