Search a number
-
+
2976361680 = 243512401507
BaseRepresentation
bin1011000101100111…
…1010110011010000
321200102112211122210
42301121322303100
522043422033210
61211201432120
7133520441205
oct26131726320
97612484583
102976361680
111298095646
126b093b640
13385829076
14203411cac
15126474e20
hexb167acd0

2976361680 has 40 divisors (see below), whose sum is σ = 9226721952. Its totient is φ = 793696384.

The previous prime is 2976361673. The next prime is 2976361681. The reversal of 2976361680 is 861636792.

2976361680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976361681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6200514 + ... + 6200993.

Almost surely, 22976361680 is an apocalyptic number.

2976361680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2976361680 is an abundant number, since it is smaller than the sum of its proper divisors (6250360272).

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

2976361680 is a wasteful number, since it uses less digits than its factorization.

2976361680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401523 (or 12401517 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2976361680 is about 54556.0416452660. The cubic root of 2976361680 is about 1438.4515376632.

The spelling of 2976361680 in words is "two billion, nine hundred seventy-six million, three hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12401507 24803014 37204521 49606028 62007535 74409042 99212056 124015070 148818084 186022605 198424112 248030140 297636168 372045210 496060280 595272336 744090420 992120560 1488180840 2976361680