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206452064 = 25713312287
BaseRepresentation
bin11000100111000…
…11010101100000
3112101110211222202
430103203111200
5410322431224
632252552332
75054546030
oct1423432540
9471424882
10206452064
11a659a545
12591826a8
1333a05cb0
141d5c18c0
15131d0eae
hexc4e3560

206452064 has 96 divisors (see below), whose sum is σ = 516612096. Its totient is φ = 79004160.

The previous prime is 206452061. The next prime is 206452069. The reversal of 206452064 is 460254602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206452061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89129 + ... + 91415.

It is an arithmetic number, because the mean of its divisors is an integer number (5381376).

Almost surely, 2206452064 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 206452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258306048).

206452064 is an abundant number, since it is smaller than the sum of its proper divisors (310160032).

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

206452064 is a wasteful number, since it uses less digits than its factorization.

206452064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 206452064 is about 14368.4398596368. The cubic root of 206452064 is about 591.0257594158.

The spelling of 206452064 in words is "two hundred six million, four hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 728 806 868 992 1456 1612 1736 2287 2821 2912 3224 3472 4574 5642 6448 6944 9148 11284 12896 16009 18296 22568 29731 32018 36592 45136 59462 64036 70897 73184 90272 118924 128072 141794 208117 237848 256144 283588 416234 475696 496279 512288 567176 832468 921661 951392 992558 1134352 1664936 1843322 1985116 2268704 3329872 3686644 3970232 6451627 6659744 7373288 7940464 12903254 14746576 15880928 25806508 29493152 51613016 103226032 206452064