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5751680 = 275111943
BaseRepresentation
bin10101111100001110000000
3101211012211012
4111330032000
52433023210
6323140052
766613514
oct25741600
911735735
105751680
113279360
121b14628
131264c7c
14a9a144
15789305
hex57c380

5751680 has 128 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1935360.

The previous prime is 5751677. The next prime is 5751701. The reversal of 5751680 is 861575.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133739 + ... + 133781.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 25751680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

5751680 is an abundant number, since it is smaller than the sum of its proper divisors (10405120).

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

5751680 is a wasteful number, since it uses less digits than its factorization.

5751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 5751680 is about 2398.2660402883. The cubic root of 5751680 is about 179.1698397371.

The spelling of 5751680 in words is "five million, seven hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 43 44 55 64 76 80 86 88 95 110 128 152 160 172 176 190 209 215 220 304 320 344 352 380 418 430 440 473 608 640 688 704 760 817 836 860 880 946 1045 1216 1376 1408 1520 1634 1672 1720 1760 1892 2090 2365 2432 2752 3040 3268 3344 3440 3520 3784 4085 4180 4730 5504 6080 6536 6688 6880 7040 7568 8170 8360 8987 9460 12160 13072 13376 13760 15136 16340 16720 17974 18920 26144 26752 27520 30272 32680 33440 35948 37840 44935 52288 60544 65360 66880 71896 75680 89870 104576 130720 133760 143792 151360 179740 261440 287584 302720 359480 522880 575168 718960 1150336 1437920 2875840 5751680