Search a number
-
+
2040646216 = 23759718699
BaseRepresentation
bin111100110100001…
…1100101001001000
312021012211120100111
41321220130221020
513134401134331
6534254044104
7101366130610
oct17150345110
95235746314
102040646216
11957989784
1248b4a9634
13266a0908b
14155039a40
15be240db1
hex79a1ca48

2040646216 has 64 divisors (see below), whose sum is σ = 4510080000. Its totient is φ = 847533120.

The previous prime is 2040646171. The next prime is 2040646229. The reversal of 2040646216 is 6126460402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230235 + ... + 238933.

It is an arithmetic number, because the mean of its divisors is an integer number (70470000).

Almost surely, 22040646216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040646216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255040000).

2040646216 is an abundant number, since it is smaller than the sum of its proper divisors (2469433784).

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

2040646216 is a wasteful number, since it uses less digits than its factorization.

2040646216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2040646216 is about 45173.5123274691. The cubic root of 2040646216 is about 1268.3990441329.

The spelling of 2040646216 in words is "two billion, forty million, six hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 71 118 142 236 284 413 472 497 568 826 994 1652 1988 3304 3976 4189 8378 8699 16756 17398 29323 33512 34796 58646 60893 69592 117292 121786 234584 243572 487144 513241 617629 1026482 1235258 2052964 2470516 3592687 4105928 4323403 4941032 7185374 8646806 14370748 17293612 28741496 34587224 36440111 72880222 145760444 255080777 291520888 510161554 1020323108 2040646216