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207434112 = 273975569
BaseRepresentation
bin11000101110100…
…11000110000000
3112110022202002220
430113103012000
5411100342422
632330011040
75066106114
oct1427230600
9473282086
10207434112
11a7100356
1259576a80
1333c8aca2
141d799744
1513326e5c
hexc5d3180

207434112 has 64 divisors (see below), whose sum is σ = 556777200. Its totient is φ = 68419584.

The previous prime is 207434111. The next prime is 207434137. The reversal of 207434112 is 211434702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207434111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34464 + ... + 40032.

Almost surely, 2207434112 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 207434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278388600).

207434112 is an abundant number, since it is smaller than the sum of its proper divisors (349343088).

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

207434112 is an equidigital number, since it uses as much as digits as its factorization.

207434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 207434112 is about 14402.5731034423. The cubic root of 207434112 is about 591.9614048372.

Adding to 207434112 its reverse (211434702), we get a palindrome (418868814).

The spelling of 207434112 in words is "two hundred seven million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 5569 6208 9312 11138 12416 16707 18624 22276 33414 37248 44552 66828 89104 133656 178208 267312 356416 534624 540193 712832 1069248 1080386 1620579 2138496 2160772 3241158 4321544 6482316 8643088 12964632 17286176 25929264 34572352 51858528 69144704 103717056 207434112