Search a number
-
+
2672063360 = 27528314753
BaseRepresentation
bin1001111101000100…
…0111001110000000
320220012221212211122
42133101013032000
520433022011420
61121051331412
7123134110121
oct23721071600
96805855748
102672063360
11115134582a
12626a50b68
133377849a5
141b4c40048
151098b7725
hex9f447380

2672063360 has 64 divisors (see below), whose sum is σ = 6410908080. Its totient is φ = 1064976384.

The previous prime is 2672063327. The next prime is 2672063377. The reversal of 2672063360 is 633602762.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2672063360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173744 + ... + 188496.

Almost surely, 22672063360 is an apocalyptic number.

2672063360 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 2672063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205454040).

2672063360 is an abundant number, since it is smaller than the sum of its proper divisors (3738844720).

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

2672063360 is a wasteful number, since it uses less digits than its factorization.

2672063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 2672063360 is about 51692.0047976474. The cubic root of 2672063360 is about 1387.6573828996.

The spelling of 2672063360 in words is "two billion, six hundred seventy-two million, sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 283 320 566 640 1132 1415 2264 2830 4528 5660 9056 11320 14753 18112 22640 29506 36224 45280 59012 73765 90560 118024 147530 181120 236048 295060 472096 590120 944192 1180240 1888384 2360480 4175099 4720960 8350198 9441920 16700396 20875495 33400792 41750990 66801584 83501980 133603168 167003960 267206336 334007920 534412672 668015840 1336031680 2672063360