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206670072 = 233710711497
BaseRepresentation
bin11000101000110…
…00100011111000
3112101212221001010
430110120203320
5410401420242
632301353520
75056444440
oct1424304370
9471787033
10206670072
11a6729314
12592688a0
1333a812ab
141d63b120
151322589c
hexc5188f8

206670072 has 64 divisors (see below), whose sum is σ = 596056320. Its totient is φ = 58491648.

The previous prime is 206670067. The next prime is 206670091. The reversal of 206670072 is 270076602.

It is a congruent number.

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, 12228 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (9313380).

Almost surely, 2206670072 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 206670072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298028160).

206670072 is an abundant number, since it is smaller than the sum of its proper divisors (389386248).

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

206670072 is a wasteful number, since it uses less digits than its factorization.

206670072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11620 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 206670072 is about 14376.0242069913. The cubic root of 206670072 is about 591.2337221657.

The spelling of 206670072 in words is "two hundred six million, six hundred seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 4494 5992 8988 11497 17976 22994 34491 45988 68982 80479 91976 137964 160958 241437 275928 321916 482874 643832 965748 1230179 1931496 2460358 3690537 4920716 7381074 8611253 9841432 14762148 17222506 25833759 29524296 34445012 51667518 68890024 103335036 206670072