Search a number
-
+
5213040000 = 27354729107
BaseRepresentation
bin1001101101011100…
…01010110110000000
3111110022020212111120
410312232022312000
541134014240000
62221141312240
7243120052230
oct46656126600
914408225446
105213040000
112235697123
121015a05680
1365103036c
143764b9cc0
152079d96a0
hex136b8ad80

5213040000 has 640 divisors, whose sum is σ = 20648390400. Its totient is φ = 1139712000.

The previous prime is 5213039969. The next prime is 5213040023. The reversal of 5213040000 is 403125.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48719947 + ... + 48720053.

It is an arithmetic number, because the mean of its divisors is an integer number (32263110).

Almost surely, 25213040000 is an apocalyptic number.

5213040000 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 5213040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324195200).

5213040000 is an abundant number, since it is smaller than the sum of its proper divisors (15435350400).

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

5213040000 is a wasteful number, since it uses less digits than its factorization.

5213040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5213040000 is about 72201.3850282666. The cubic root of 5213040000 is about 1733.9251759345.

Adding to 5213040000 its reverse (403125), we get a palindrome (5213443125).

The spelling of 5213040000 in words is "five billion, two hundred thirteen million, forty thousand".