Search a number
-
+
2966052240 = 2432510933769
BaseRepresentation
bin1011000011001010…
…0101110110010000
321122201011001202200
42300302211312100
522033302132430
61210152443200
7133334012424
oct26062456620
97581131680
102966052240
111292293a48
126a93a9500
133836596c8
14201ccab84
151255da460
hexb0ca5d90

2966052240 has 120 divisors (see below), whose sum is σ = 9972750840. Its totient is φ = 790013952.

The previous prime is 2966052223. The next prime is 2966052263. The reversal of 2966052240 is 422506692.

2966052240 is a `hidden beast` number, since 2 + 9 + 6 + 605 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1624734864 + 1341317376 = 40308^2 + 36624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2966052195 and 2966052204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785076 + ... + 788844.

It is an arithmetic number, because the mean of its divisors is an integer number (83106257).

Almost surely, 22966052240 is an apocalyptic number.

2966052240 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 2966052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986375420).

2966052240 is an abundant number, since it is smaller than the sum of its proper divisors (7006698600).

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

2966052240 is a wasteful number, since it uses less digits than its factorization.

2966052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2966052240 is about 54461.4748239524. The cubic root of 2966052240 is about 1436.7887933916.

The spelling of 2966052240 in words is "two billion, nine hundred sixty-six million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1093 2186 3279 3769 4372 5465 6558 7538 8744 9837 10930 11307 13116 15076 16395 17488 18845 19674 21860 22614 26232 30152 32790 33921 37690 39348 43720 45228 49185 52464 56535 60304 65580 67842 75380 78696 87440 90456 98370 113070 131160 135684 150760 157392 169605 180912 196740 226140 262320 271368 301520 339210 393480 452280 542736 678420 786960 904560 1356840 2713680 4119517 8239034 12358551 16478068 20597585 24717102 32956136 37075653 41195170 49434204 61792755 65912272 74151306 82390340 98868408 123585510 148302612 164780680 185378265 197736816 247171020 296605224 329561360 370756530 494342040 593210448 741513060 988684080 1483026120 2966052240