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5731600 = 245272389
BaseRepresentation
bin10101110111010100010000
3101210012021111
4111313110100
52431402400
6322503104
766501130
oct25672420
911705244
105731600
113265266
121b04a94
131258aa4
14a92ac0
157833ba
hex577510

5731600 has 120 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1858560.

The previous prime is 5731591. The next prime is 5731619. The reversal of 5731600 is 61375.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64356 + ... + 64444.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 25731600 is an apocalyptic number.

5731600 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 5731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5731600 is an abundant number, since it is smaller than the sum of its proper divisors (10874480).

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

5731600 is a wasteful number, since it uses less digits than its factorization.

5731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 5731600 is about 2394.0760221848. The cubic root of 5731600 is about 178.9610934656.

Adding to 5731600 its reverse (61375), we get a palindrome (5792975).

The spelling of 5731600 in words is "five million, seven hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 89 92 100 112 115 140 161 175 178 184 200 230 280 322 350 356 368 400 445 460 560 575 623 644 700 712 805 890 920 1150 1246 1288 1400 1424 1610 1780 1840 2047 2225 2300 2492 2576 2800 3115 3220 3560 4025 4094 4450 4600 4984 6230 6440 7120 8050 8188 8900 9200 9968 10235 12460 12880 14329 15575 16100 16376 17800 20470 24920 28658 31150 32200 32752 35600 40940 49840 51175 57316 62300 64400 71645 81880 102350 114632 124600 143290 163760 204700 229264 249200 286580 358225 409400 573160 716450 818800 1146320 1432900 2865800 5731600