Search a number
-
+
5123800 = 23521117137
BaseRepresentation
bin10011100010111011011000
3100122022112101
4103202323120
52302430200
6301453144
761360123
oct23427330
910568471
105123800
11298a650
1218711b4
1310a5246
149753ba
156b326a
hex4e2ed8

5123800 has 96 divisors (see below), whose sum is σ = 13860720. Its totient is φ = 1740800.

The previous prime is 5123791. The next prime is 5123821. The reversal of 5123800 is 83215.

It is a happy number.

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, 37332 + ... + 37468.

Almost surely, 25123800 is an apocalyptic number.

5123800 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 5123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930360).

5123800 is an abundant number, since it is smaller than the sum of its proper divisors (8736920).

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

5123800 is a wasteful number, since it uses less digits than its factorization.

5123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5123800 is about 2263.5812333557. The cubic root of 5123800 is about 172.3974045112.

The spelling of 5123800 in words is "five million, one hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 137 170 187 200 220 274 275 340 374 425 440 548 550 680 685 748 850 935 1096 1100 1370 1496 1507 1700 1870 2200 2329 2740 3014 3400 3425 3740 4658 4675 5480 6028 6850 7480 7535 9316 9350 11645 12056 13700 15070 18632 18700 23290 25619 27400 30140 37400 37675 46580 51238 58225 60280 75350 93160 102476 116450 128095 150700 204952 232900 256190 301400 465800 512380 640475 1024760 1280950 2561900 5123800