[go: up one dir, main page]

Search a number
-
+
5102269920 = 2533511243227
BaseRepresentation
bin1001100000001111…
…00111010111100000
3111011120211011112000
410300013213113200
540422140114140
62202143204000
7240303402336
oct46007472740
914146734460
105102269920
112189109a00
12ba48a6600
136340b8637
143658c3b56
151ece08a30
hex1301e75e0

5102269920 has 576 divisors, whose sum is σ = 20173950720. Its totient is φ = 1202826240.

The previous prime is 5102269901. The next prime is 5102269927. The reversal of 5102269920 is 299622015.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102269927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22476847 + ... + 22477073.

It is an arithmetic number, because the mean of its divisors is an integer number (35024220).

Almost surely, 25102269920 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 5102269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086975360).

5102269920 is an abundant number, since it is smaller than the sum of its proper divisors (15071680800).

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

5102269920 is a wasteful number, since it uses less digits than its factorization.

5102269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5102269920 is about 71430.1751362826. The cubic root of 5102269920 is about 1721.5559563584. Note that the first 3 decimals are identical.

The spelling of 5102269920 in words is "five billion, one hundred two million, two hundred sixty-nine thousand, nine hundred twenty".