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206612432 = 24138911161
BaseRepresentation
bin11000101000010…
…10011111010000
3112101202222222022
430110022133100
5410343044212
632300231012
75056114415
oct1424123720
9471688868
10206612432
11a6699a84
125923b468
1333a60ca0
141d62410c
1513213772
hexc50a7d0

206612432 has 40 divisors (see below), whose sum is σ = 435987720. Its totient is φ = 94279680.

The previous prime is 206612431. The next prime is 206612437. The reversal of 206612432 is 234216602.

It can be written as a sum of positive squares in 4 ways, for example, as 16613776 + 189998656 = 4076^2 + 13784^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206612431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12932 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (10899693).

Almost surely, 2206612432 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 206612432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217993860).

206612432 is an abundant number, since it is smaller than the sum of its proper divisors (229375288).

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

206612432 is a wasteful number, since it uses less digits than its factorization.

206612432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 206612432 is about 14374.0193404628. The cubic root of 206612432 is about 591.1787522966.

The spelling of 206612432 in words is "two hundred six million, six hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 9256 11161 18512 22322 44644 89288 145093 178576 290186 580372 993329 1160744 1986658 2321488 3973316 7946632 12913277 15893264 25826554 51653108 103306216 206612432