Search a number
-
+
5190600 = 2335241211
BaseRepresentation
bin10011110011001111001000
3100202201011110
4103303033020
52312044400
6303130320
762055642
oct23631710
910681143
105190600
112a25858
1218a39a0
1310c977c
14991892
156c7e50
hex4f33c8

5190600 has 96 divisors (see below), whose sum is σ = 16561440. Its totient is φ = 1344000.

The previous prime is 5190599. The next prime is 5190607. The reversal of 5190600 is 60915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24495 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (172515).

Almost surely, 25190600 is an apocalyptic number.

5190600 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 5190600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280720).

5190600 is an abundant number, since it is smaller than the sum of its proper divisors (11370840).

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

5190600 is a wasteful number, since it uses less digits than its factorization.

5190600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5190600 is about 2278.2888315576. The cubic root of 5190600 is about 173.1433651837.

The spelling of 5190600 in words is "five million, one hundred ninety thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 211 246 300 328 410 422 492 600 615 633 820 844 984 1025 1055 1230 1266 1640 1688 2050 2110 2460 2532 3075 3165 4100 4220 4920 5064 5275 6150 6330 8200 8440 8651 10550 12300 12660 15825 17302 21100 24600 25320 25953 31650 34604 42200 43255 51906 63300 69208 86510 103812 126600 129765 173020 207624 216275 259530 346040 432550 519060 648825 865100 1038120 1297650 1730200 2595300 5190600