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5340821600 = 255259113153
BaseRepresentation
bin1001111100101011…
…00111100001100000
3111210012200211220102
410332111213201200
541414222242400
62241544201532
7246231143312
oct47625474140
914705624812
105340821600
1122a0833354
1210507692a8
1367165018a
1438945d7b2
15213d2a9d5
hex13e567860

5340821600 has 72 divisors (see below), whose sum is σ = 13259385720. Its totient is φ = 2100101120.

The previous prime is 5340821597. The next prime is 5340821617. The reversal of 5340821600 is 61280435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9377 + ... + 103776.

It is an arithmetic number, because the mean of its divisors is an integer number (184158135).

Almost surely, 25340821600 is an apocalyptic number.

5340821600 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 5340821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629692860).

5340821600 is an abundant number, since it is smaller than the sum of its proper divisors (7918564120).

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

5340821600 is a wasteful number, since it uses less digits than its factorization.

5340821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113232 (or 113219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 5340821600 is about 73080.9250078295. The cubic root of 5340821600 is about 1747.9782475077.

The spelling of 5340821600 in words is "five billion, three hundred forty million, eight hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1888 2360 2950 4720 5900 9440 11800 23600 47200 113153 226306 452612 565765 905224 1131530 1810448 2263060 2828825 3620896 4526120 5657650 6676027 9052240 11315300 13352054 18104480 22630600 26704108 33380135 45261200 53408216 66760270 90522400 106816432 133520540 166900675 213632864 267041080 333801350 534082160 667602700 1068164320 1335205400 2670410800 5340821600