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207204640 = 2551093
BaseRepresentation
bin11000101100110…
…11000100100000
3112102220002022221
430112123010200
5411021022030
632321040424
75064132106
oct1426330440
9472802287
10207204640
11a6a63a05
1259486114
1333c0a6c6
141d739c76
15132cde7a
hexc59b120

207204640 has 48 divisors (see below), whose sum is σ = 494053560. Its totient is φ = 82121472.

The previous prime is 207204629. The next prime is 207204643. The reversal of 207204640 is 46402702.

It can be written as a sum of positive squares in 4 ways, for example, as 150111504 + 57093136 = 12252^2 + 7556^2 .

It is not an unprimeable number, because it can be changed into a prime (207204643) 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, 1900906 + ... + 1901014.

Almost surely, 2207204640 is an apocalyptic number.

207204640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247026780).

207204640 is an abundant number, since it is smaller than the sum of its proper divisors (286848920).

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

207204640 is an frugal number, since it uses more digits than its factorization.

207204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 207204640 is about 14394.6045447591. The cubic root of 207204640 is about 591.7430404177.

The spelling of 207204640 in words is "two hundred seven million, two hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 11881 17440 23762 47524 59405 95048 118810 190096 237620 380192 475240 950480 1295029 1900960 2590058 5180116 6475145 10360232 12950290 20720464 25900580 41440928 51801160 103602320 207204640