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216782076 = 223722912713
BaseRepresentation
bin11001110101111…
…01010011111100
3120002220200002210
430322331103330
5420444011301
633302220420
75241421500
oct1472752374
9502820083
10216782076
11101405645
1260724710
1335bb1b24
1420b10300
1514071ad6
hexcebd4fc

216782076 has 72 divisors (see below), whose sum is σ = 608746320. Its totient is φ = 59797248.

The previous prime is 216782053. The next prime is 216782119. The reversal of 216782076 is 670287612.

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, 10696 + ... + 23408.

It is an arithmetic number, because the mean of its divisors is an integer number (8454810).

Almost surely, 2216782076 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 216782076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304373160).

216782076 is an abundant number, since it is smaller than the sum of its proper divisors (391964244).

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

216782076 is a wasteful number, since it uses less digits than its factorization.

216782076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 216782076 is about 14723.5211821086. The cubic root of 216782076 is about 600.7232722229.

The spelling of 216782076 in words is "two hundred sixteen million, seven hundred eighty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 12713 17052 25426 38139 50852 76278 88991 152556 177982 266973 355964 368677 533946 622937 737354 1067892 1106031 1245874 1474708 1868811 2212062 2491748 2580739 3737622 4424124 5161478 7475244 7742217 10322956 15484434 18065173 30968868 36130346 54195519 72260692 108391038 216782076