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207001312 = 2574321491
BaseRepresentation
bin11000101011010…
…01011011100000
3112102111202102021
430111221123200
5410443020222
632312431224
75062324240
oct1425513340
9472452367
10207001312
11a6935171
12593a8514
1333b68cab
141d6c5b20
151328dac7
hexc5696e0

207001312 has 48 divisors (see below), whose sum is σ = 476606592. Its totient is φ = 86647680.

The previous prime is 207001309. The next prime is 207001313. The reversal of 207001312 is 213100702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207001313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 20377.

It is an arithmetic number, because the mean of its divisors is an integer number (9929304).

Almost surely, 2207001312 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 207001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238303296).

207001312 is an abundant number, since it is smaller than the sum of its proper divisors (269605280).

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

207001312 is a wasteful number, since it uses less digits than its factorization.

207001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551 (or 21543 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 207001312 is about 14387.5401650178. The cubic root of 207001312 is about 591.5494197439.

The spelling of 207001312 in words is "two hundred seven million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 21491 42982 85964 150437 171928 300874 343856 601748 687712 924113 1203496 1848226 2406992 3696452 4813984 6468791 7392904 12937582 14785808 25875164 29571616 51750328 103500656 207001312