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5320432400 = 245214989269
BaseRepresentation
bin1001111010001111…
…10101101100010000
3111201210022222011212
410331013311230100
541344012314100
62235535155252
7245562633503
oct47507655420
914653288155
105320432400
112290277678
121045975b28
1366a36186a
1438687313a
1521214e635
hex13d1f5b10

5320432400 has 60 divisors (see below), whose sum is σ = 12868270500. Its totient is φ = 2113866240.

The previous prime is 5320432399. The next prime is 5320432451. The reversal of 5320432400 is 42340235.

It can be written as a sum of positive squares in 6 ways, for example, as 995528704 + 4324903696 = 31552^2 + 65764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14966 + ... + 104234.

It is an arithmetic number, because the mean of its divisors is an integer number (214471175).

Almost surely, 25320432400 is an apocalyptic number.

5320432400 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 5320432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434135250).

5320432400 is an abundant number, since it is smaller than the sum of its proper divisors (7547838100).

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

5320432400 is a wasteful number, since it uses less digits than its factorization.

5320432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89436 (or 89425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 5320432400 is about 72941.2942029410. The cubic root of 5320432400 is about 1745.7510416394.

Adding to 5320432400 its reverse (42340235), we get a palindrome (5362772635).

The spelling of 5320432400 in words is "five billion, three hundred twenty million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 89269 178538 357076 446345 714152 892690 1428304 1785380 2231725 3570760 4463450 7141520 8926900 13301081 17853800 26602162 35707600 53204324 66505405 106408648 133010810 212817296 266021620 332527025 532043240 665054050 1064086480 1330108100 2660216200 5320432400