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7106390200 = 23527133761173
BaseRepresentation
bin1101001111001001…
…01110100010111000
3200100020221000201001
412213210232202320
5104023213441300
63133054334344
7341050214530
oct64744564270
920306830631
107106390200
113017410158
121463aba3b4
13893376220
144b5b324c0
152b8d3216a
hex1a792e8b8

7106390200 has 384 divisors, whose sum is σ = 21349883520. Its totient is φ = 2139955200.

The previous prime is 7106390171. The next prime is 7106390219. The reversal of 7106390200 is 20936017.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41077314 + ... + 41077486.

It is an arithmetic number, because the mean of its divisors is an integer number (55598655).

Almost surely, 27106390200 is an apocalyptic number.

7106390200 is a gapful number since it is divisible by the number (70) 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 7106390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674941760).

7106390200 is an abundant number, since it is smaller than the sum of its proper divisors (14243493320).

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

7106390200 is a wasteful number, since it uses less digits than its factorization.

7106390200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 7106390200 is about 84299.4080643512. The cubic root of 7106390200 is about 1922.5737871203.

The spelling of 7106390200 in words is "seven billion, one hundred six million, three hundred ninety thousand, two hundred".