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5871200 = 255241179
BaseRepresentation
bin10110011001011001100000
3102001021202212
4112121121200
53000334300
6325501252
7100622126
oct26313140
912037685
105871200
113350135
121b71828
1312a74aa
14acb916
157ae935
hex599660

5871200 has 72 divisors (see below), whose sum is σ = 14764680. Its totient is φ = 2278400.

The previous prime is 5871179. The next prime is 5871211. The reversal of 5871200 is 21785.

It is a congruent number.

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, 32711 + ... + 32889.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 25871200 is an apocalyptic number.

5871200 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 5871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382340).

5871200 is an abundant number, since it is smaller than the sum of its proper divisors (8893480).

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

5871200 is a wasteful number, since it uses less digits than its factorization.

5871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 5871200 is about 2423.0559217649. The cubic root of 5871200 is about 180.4023919591.

Adding to 5871200 its reverse (21785), we get a palindrome (5892985).

The spelling of 5871200 in words is "five million, eight hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 179 200 205 328 358 400 410 656 716 800 820 895 1025 1312 1432 1640 1790 2050 2864 3280 3580 4100 4475 5728 6560 7160 7339 8200 8950 14320 14678 16400 17900 28640 29356 32800 35800 36695 58712 71600 73390 117424 143200 146780 183475 234848 293560 366950 587120 733900 1174240 1467800 2935600 5871200