Search a number
-
+
3031212960 = 253252105009
BaseRepresentation
bin1011010010101100…
…1010001110100000
321211020202120110200
42310223022032200
522201442303320
61220441225200
7135054612366
oct26453121640
97736676420
103031212960
11131604a186
12707192200
13393cc2649
1420a80d636
1512b1ac290
hexb4aca3a0

3031212960 has 72 divisors (see below), whose sum is σ = 10344019140. Its totient is φ = 808323072.

The previous prime is 3031212929. The next prime is 3031212967. The reversal of 3031212960 is 692121303.

It can be written as a sum of positive squares in 2 ways, for example, as 2906935056 + 124277904 = 53916^2 + 11148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3031212967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051065 + ... + 1053944.

Almost surely, 23031212960 is an apocalyptic number.

3031212960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3031212960 is an abundant number, since it is smaller than the sum of its proper divisors (7312806180).

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

3031212960 is a wasteful number, since it uses less digits than its factorization.

3031212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105030 (or 2105019 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3031212960 is about 55056.4524828834. The cubic root of 3031212960 is about 1447.2341981987.

The spelling of 3031212960 in words is "three billion, thirty-one million, two hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2105009 4210018 6315027 8420036 10525045 12630054 16840072 18945081 21050090 25260108 31575135 33680144 37890162 42100180 50520216 63150270 67360288 75780324 84200360 94725405 101040432 126300540 151560648 168400720 189450810 202080864 252601080 303121296 336801440 378901620 505202160 606242592 757803240 1010404320 1515606480 3031212960