Search a number
-
+
5319095040 = 2835572349
BaseRepresentation
bin1001111010000101…
…01111001100000000
3111201200211000200000
410331002233030000
541343142020130
62235450400000
7245545363500
oct47502571400
914650730600
105319095040
11228a543916
121045430000
13669cb3c1c
14386605a00
15211e88260
hex13d0af300

5319095040 has 648 divisors, whose sum is σ = 22264678800. Its totient is φ = 1212309504.

The previous prime is 5319095029. The next prime is 5319095051. The reversal of 5319095040 is 405909135.

It is an interprime number because it is at equal distance from previous prime (5319095029) and next prime (5319095051).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5319094986 and 5319095004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240786 + ... + 15241134.

Almost surely, 25319095040 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 5319095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132339400).

5319095040 is an abundant number, since it is smaller than the sum of its proper divisors (16945583760).

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

5319095040 is an equidigital number, since it uses as much as digits as its factorization.

5319095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5319095040 is about 72932.1262544840. The cubic root of 5319095040 is about 1745.6047569590.

The spelling of 5319095040 in words is "five billion, three hundred nineteen million, ninety-five thousand, forty".