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5365893400 = 2352718892029
BaseRepresentation
bin1001111111101010…
…10000100100011000
3111211221212121221121
410333311100210120
541442132042100
62244241415024
7246654225040
oct47765204430
914757777847
105365893400
1123039a814a
12105903a474
136768bac6a
1438c908720
1521612e51a
hex13fd50918

5365893400 has 96 divisors (see below), whose sum is σ = 14272524000. Its totient is φ = 1837854720.

The previous prime is 5365893391. The next prime is 5365893427. The reversal of 5365893400 is 43985635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643586 + ... + 2645614.

It is an arithmetic number, because the mean of its divisors is an integer number (148672125).

Almost surely, 25365893400 is an apocalyptic number.

5365893400 is a gapful number since it is divisible by the number (50) 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 5365893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136262000).

5365893400 is an abundant number, since it is smaller than the sum of its proper divisors (8906630600).

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

5365893400 is a wasteful number, since it uses less digits than its factorization.

5365893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 5365893400 is about 73252.2586682486. The cubic root of 5365893400 is about 1750.7091982685.

The spelling of 5365893400 in words is "five billion, three hundred sixty-five million, eight hundred ninety-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1889 2029 3778 4058 7556 8116 9445 10145 13223 14203 15112 16232 18890 20290 26446 28406 37780 40580 47225 50725 52892 56812 66115 71015 75560 81160 94450 101450 105784 113624 132230 142030 188900 202900 264460 284060 330575 355075 377800 405800 528920 568120 661150 710150 1322300 1420300 2644600 2840600 3832781 7665562 15331124 19163905 26829467 30662248 38327810 53658934 76655620 95819525 107317868 134147335 153311240 191639050 214635736 268294670 383278100 536589340 670736675 766556200 1073178680 1341473350 2682946700 5365893400