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5711400 = 23325219167
BaseRepresentation
bin10101110010011000101000
3101202011120100
4111302120220
52430231100
6322225400
766355212
oct25623050
911664510
105711400
113251072
121ab5260
13124c836
14a895b2
1577c400
hex572628

5711400 has 144 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1434240.

The previous prime is 5711399. The next prime is 5711401. The reversal of 5711400 is 41175.

It is an interprime number because it is at equal distance from previous prime (5711399) and next prime (5711401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5711401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34117 + ... + 34283.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 25711400 is an apocalyptic number.

5711400 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 5711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

5711400 is an abundant number, since it is smaller than the sum of its proper divisors (14599800).

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

5711400 is a wasteful number, since it uses less digits than its factorization.

5711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5711400 is about 2389.8535519985. The cubic root of 5711400 is about 178.7506071996.

Adding to 5711400 its reverse (41175), we get a palindrome (5752575).

The spelling of 5711400 in words is "five million, seven hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 167 171 180 190 200 225 228 285 300 334 342 360 380 450 456 475 501 570 600 668 684 760 835 855 900 950 1002 1140 1336 1368 1425 1503 1670 1710 1800 1900 2004 2280 2505 2850 3006 3173 3340 3420 3800 4008 4175 4275 5010 5700 6012 6346 6680 6840 7515 8350 8550 9519 10020 11400 12024 12525 12692 15030 15865 16700 17100 19038 20040 25050 25384 28557 30060 31730 33400 34200 37575 38076 47595 50100 57114 60120 63460 75150 76152 79325 95190 100200 114228 126920 142785 150300 158650 190380 228456 237975 285570 300600 317300 380760 475950 571140 634600 713925 951900 1142280 1427850 1903800 2855700 5711400