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5313532400 = 2452111963559
BaseRepresentation
bin1001111001011011…
…00001000111110000
3111201022100102011022
410330231201013300
541340231014100
62235131235012
7245450165051
oct47455410760
914638312138
105313532400
1122873945a0
1210435a8a68
13668ab7017
14385998728
15211739e85
hex13cb611f0

5313532400 has 120 divisors (see below), whose sum is σ = 14659478400. Its totient is φ = 1830470400.

The previous prime is 5313532397. The next prime is 5313532421. The reversal of 5313532400 is 42353135.

It is a self number, because there is not a number n which added to its sum of digits gives 5313532400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51821 + ... + 115379.

It is an arithmetic number, because the mean of its divisors is an integer number (122162320).

Almost surely, 25313532400 is an apocalyptic number.

5313532400 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 5313532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329739200).

5313532400 is an abundant number, since it is smaller than the sum of its proper divisors (9345946000).

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

5313532400 is a wasteful number, since it uses less digits than its factorization.

5313532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63607 (or 63596 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 5313532400 is about 72893.9805470932. The cubic root of 5313532400 is about 1744.9960345063.

Adding to 5313532400 its reverse (42353135), we get a palindrome (5355885535).

The spelling of 5313532400 in words is "five billion, three hundred thirteen million, five hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 63559 83600 127118 254236 317795 508472 635590 699149 1016944 1207621 1271180 1398298 1588975 2415242 2542360 2796596 3177950 3495745 4830484 5084720 5593192 6038105 6355900 6991490 9660968 11186384 12076210 12711800 13283831 13982980 17478725 19321936 24152420 25423600 26567662 27965960 30190525 34957450 48304840 53135324 55931920 60381050 66419155 69914900 96609680 106270648 120762100 132838310 139829800 212541296 241524200 265676620 279659600 332095775 483048400 531353240 664191550 1062706480 1328383100 2656766200 5313532400