Search a number
-
+
5354020400 = 245228347297
BaseRepresentation
bin1001111110001111…
…11101111000110000
3111211010112102020212
410333013331320300
541431112123100
62243135123252
7246451264631
oct47707757060
914733472225
105354020400
1122a8228853
121055073528
136742c1a11
1438b0d7888
15215086635
hex13f1fde30

5354020400 has 60 divisors (see below), whose sum is σ = 12908759352. Its totient is φ = 2133995520.

The previous prime is 5354020391. The next prime is 5354020423. The reversal of 5354020400 is 40204535.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89552 + ... + 136848.

Almost surely, 25354020400 is an apocalyptic number.

5354020400 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 5354020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454379676).

5354020400 is an abundant number, since it is smaller than the sum of its proper divisors (7554738952).

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

5354020400 is a wasteful number, since it uses less digits than its factorization.

5354020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47598 (or 47587 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 5354020400 is about 73171.1719190010. The cubic root of 5354020400 is about 1749.4169921886.

Adding to 5354020400 its reverse (40204535), we get a palindrome (5394224935).

The spelling of 5354020400 in words is "five billion, three hundred fifty-four million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 283 400 566 1132 1415 2264 2830 4528 5660 7075 11320 14150 22640 28300 47297 56600 94594 113200 189188 236485 378376 472970 756752 945940 1182425 1891880 2364850 3783760 4729700 9459400 13385051 18918800 26770102 53540204 66925255 107080408 133850510 214160816 267701020 334626275 535402040 669252550 1070804080 1338505100 2677010200 5354020400