Search a number
-
+
5063400 = 2332522997
BaseRepresentation
bin10011010100001011101000
3100112020200100
4103110023220
52244012100
6300305400
761016046
oct23241350
910466610
105063400
112949231
121842260
1310838c4
1495b396
156a0400
hex4d42e8

5063400 has 144 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 1290240.

The previous prime is 5063389. The next prime is 5063431. The reversal of 5063400 is 43605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1758276 + 3305124 = 1326^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52152 + ... + 52248.

Almost surely, 25063400 is an apocalyptic number.

5063400 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 5063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886150).

5063400 is an abundant number, since it is smaller than the sum of its proper divisors (12708900).

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

5063400 is a wasteful number, since it uses less digits than its factorization.

5063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5063400 is about 2250.1999911119. The cubic root of 5063400 is about 171.7173110178.

The spelling of 5063400 in words is "five million, sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 97 100 116 120 145 150 174 180 194 200 225 232 261 290 291 300 348 360 388 435 450 485 522 580 582 600 696 725 776 870 873 900 970 1044 1160 1164 1305 1450 1455 1740 1746 1800 1940 2088 2175 2328 2425 2610 2813 2900 2910 3480 3492 3880 4350 4365 4850 5220 5626 5800 5820 6525 6984 7275 8439 8700 8730 9700 10440 11252 11640 13050 14065 14550 16878 17400 17460 19400 21825 22504 25317 26100 28130 29100 33756 34920 42195 43650 50634 52200 56260 58200 67512 70325 84390 87300 101268 112520 126585 140650 168780 174600 202536 210975 253170 281300 337560 421950 506340 562600 632925 843900 1012680 1265850 1687800 2531700 5063400