Search a number
-
+
2116707156 = 2232316832777
BaseRepresentation
bin111111000101010…
…0110001101010100
312110111221212100100
41332022212031110
513313334112111
6550012214100
7103311466614
oct17612461524
95414855310
102116707156
1199690a463
124b0a6a330
132796ba555
14161198a44
15c5c67756
hex7e2a6354

2116707156 has 72 divisors (see below), whose sum is σ = 5533242624. Its totient is φ = 681563520.

The previous prime is 2116707149. The next prime is 2116707161. The reversal of 2116707156 is 6517076112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2116707156.

It is a congruent number.

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, 760840 + ... + 763616.

It is an arithmetic number, because the mean of its divisors is an integer number (76850592).

Almost surely, 22116707156 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 2116707156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766621312).

2116707156 is an abundant number, since it is smaller than the sum of its proper divisors (3416535468).

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

2116707156 is a wasteful number, since it uses less digits than its factorization.

2116707156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2116707156 is about 46007.6858361731. The cubic root of 2116707156 is about 1283.9662043104.

The spelling of 2116707156 in words is "two billion, one hundred sixteen million, seven hundred seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 683 1116 1366 2049 2732 2777 4098 5554 6147 8196 8331 11108 12294 16662 21173 24588 24993 33324 42346 49986 63519 84692 86087 99972 127038 172174 190557 254076 258261 344348 381114 516522 762228 774783 1033044 1549566 1896691 3099132 3793382 5690073 7586764 11380146 17070219 22760292 34140438 58797421 68280876 117594842 176392263 235189684 352784526 529176789 705569052 1058353578 2116707156