Search a number
-
+
5230410400 = 255217384589
BaseRepresentation
bin1001101111100000…
…11011101010100000
3111111111221101012201
410313300123222200
541202441113100
62223001502544
7243420516625
oct46760335240
914444841181
105230410400
112244480826
12101b7a1a54
136548028c7
1437891c34c
152092bb36a
hex137c1baa0

5230410400 has 72 divisors (see below), whose sum is σ = 13519876860. Its totient is φ = 1969090560.

The previous prime is 5230410377. The next prime is 5230410403. The reversal of 5230410400 is 40140325.

It can be written as a sum of positive squares in 6 ways, for example, as 817731216 + 4412679184 = 28596^2 + 66428^2 .

It is not an unprimeable number, because it can be changed into a prime (5230410403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178695 + ... + 205894.

Almost surely, 25230410400 is an apocalyptic number.

5230410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5230410400 is an abundant number, since it is smaller than the sum of its proper divisors (8289466460).

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

5230410400 is a wasteful number, since it uses less digits than its factorization.

5230410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384626 (or 384613 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5230410400 is about 72321.5763102547. The cubic root of 5230410400 is about 1735.8489147680.

Adding to 5230410400 its reverse (40140325), we get a palindrome (5270550725).

The spelling of 5230410400 in words is "five billion, two hundred thirty million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 384589 769178 1538356 1922945 3076712 3845890 6153424 6538013 7691780 9614725 12306848 13076026 15383560 19229450 26152052 30767120 32690065 38458900 52304104 61534240 65380130 76917800 104608208 130760260 153835600 163450325 209216416 261520520 307671200 326900650 523041040 653801300 1046082080 1307602600 2615205200 5230410400