Search a number
-
+
5602111200 = 253352726779
BaseRepresentation
bin1010011011110100…
…10110111011100000
3112110102100201212000
411031322112323200
542433120024300
62323520404000
7255553105500
oct51572267340
915412321760
105602111200
112415278074
121104176600
136b38163ca
143b2037a00
1522bc3ec00
hex14de96ee0

5602111200 has 864 divisors, whose sum is σ = 24223449600. Its totient is φ = 1245404160.

The previous prime is 5602111171. The next prime is 5602111211. The reversal of 5602111200 is 21112065.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70912761 + ... + 70912839.

It is an arithmetic number, because the mean of its divisors is an integer number (28036400).

Almost surely, 25602111200 is an apocalyptic number.

5602111200 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 5602111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

5602111200 is an abundant number, since it is smaller than the sum of its proper divisors (18621338400).

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

5602111200 is a wasteful number, since it uses less digits than its factorization.

5602111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5602111200 is about 74847.2524545825. The cubic root of 5602111200 is about 1776.0311353198.

Adding to 5602111200 its reverse (21112065), we get a palindrome (5623223265).

The spelling of 5602111200 in words is "five billion, six hundred two million, one hundred eleven thousand, two hundred".