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1206492640 = 25523332363
BaseRepresentation
bin100011111101001…
…1001110111100000
310010002020011202121
41013322121313200
54432330231030
6315415154024
741620006153
oct10772316740
93102204677
101206492640
1156a040861
12298075914
13162c58792
14b633dc9a
1570dbe47a
hex47e99de0

1206492640 has 48 divisors (see below), whose sum is σ = 2862660528. Its totient is φ = 480510976.

The previous prime is 1206492629. The next prime is 1206492649. The reversal of 1206492640 is 462946021.

It is a junction number, because it is equal to n+sod(n) for n = 1206492596 and 1206492605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206492649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21099 + ... + 53461.

It is an arithmetic number, because the mean of its divisors is an integer number (59638761).

Almost surely, 21206492640 is an apocalyptic number.

1206492640 is a gapful number since it is divisible by the number (10) 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 1206492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431330264).

1206492640 is an abundant number, since it is smaller than the sum of its proper divisors (1656167888).

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

1206492640 is a wasteful number, since it uses less digits than its factorization.

1206492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32611 (or 32603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1206492640 is about 34734.6029198550. The cubic root of 1206492640 is about 1064.5716396129.

The spelling of 1206492640 in words is "one billion, two hundred six million, four hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 3728 4660 7456 9320 18640 32363 37280 64726 129452 161815 258904 323630 517808 647260 1035616 1294520 2589040 5178080 7540579 15081158 30162316 37702895 60324632 75405790 120649264 150811580 241298528 301623160 603246320 1206492640