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5350858240 = 295713103223
BaseRepresentation
bin1001111101110111…
…11001111000000000
3111210220120202120211
410332323321320000
541424304430430
62242543243504
7246412354540
oct47673717000
914726522524
105350858240
1122a6468aa2
121053ba9594
13673755610
1438a913320
15214b5e72a
hex13eef9e00

5350858240 has 320 divisors, whose sum is σ = 16014974976. Its totient is φ = 1669496832.

The previous prime is 5350858231. The next prime is 5350858241. The reversal of 5350858240 is 428580535.

5350858240 = T280 + T281 + ... + T3178.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5350858193 and 5350858202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350858241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23994769 + ... + 23994991.

Almost surely, 25350858240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5350858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007487488).

5350858240 is an abundant number, since it is smaller than the sum of its proper divisors (10664116736).

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

5350858240 is a wasteful number, since it uses less digits than its factorization.

5350858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The square root of 5350858240 is about 73149.5607642315. The cubic root of 5350858240 is about 1749.0725142412.

The spelling of 5350858240 in words is "five billion, three hundred fifty million, eight hundred fifty-eight thousand, two hundred forty".