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5320400 = 245247283
BaseRepresentation
bin10100010010111011010000
3101000022012212
4110102323100
52330223100
6310011252
763136241
oct24227320
911008185
105320400
113004328
121946b28
131143887
149c6cc8
15701635
hex512ed0

5320400 has 60 divisors (see below), whose sum is σ = 13100352. Its totient is φ = 2075520.

The previous prime is 5320387. The next prime is 5320409. The reversal of 5320400 is 40235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5320409) 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, 18659 + ... + 18941.

Almost surely, 25320400 is an apocalyptic number.

5320400 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 5320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550176).

5320400 is an abundant number, since it is smaller than the sum of its proper divisors (7779952).

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

5320400 is a wasteful number, since it uses less digits than its factorization.

5320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5320400 is about 2306.5992283013. The cubic root of 5320400 is about 174.5747497914.

Adding to 5320400 its reverse (40235), we get a palindrome (5360635).

The spelling of 5320400 in words is "five million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 283 376 400 470 566 752 940 1132 1175 1415 1880 2264 2350 2830 3760 4528 4700 5660 7075 9400 11320 13301 14150 18800 22640 26602 28300 53204 56600 66505 106408 113200 133010 212816 266020 332525 532040 665050 1064080 1330100 2660200 5320400