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5705640 = 23355587
BaseRepresentation
bin10101110000111110101000
3101201212200000
4111300332220
52430040030
6322143000
766332343
oct25607650
911655600
105705640
113247806
121ab1a60
13124a025
14a8745a
1577a860
hex570fa8

5705640 has 96 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1518912.

The previous prime is 5705629. The next prime is 5705671. The reversal of 5705640 is 465075.

5705640 is a `hidden beast` number, since 570 + 56 + 40 = 666.

5705640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427 + ... + 10013.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 25705640 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 5705640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

5705640 is an abundant number, since it is smaller than the sum of its proper divisors (13557240).

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

5705640 is a wasteful number, since it uses less digits than its factorization.

5705640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5705640 is about 2388.6481532448. The cubic root of 5705640 is about 178.6904964379.

The spelling of 5705640 in words is "five million, seven hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 587 648 810 972 1080 1174 1215 1620 1761 1944 2348 2430 2935 3240 3522 4696 4860 5283 5870 7044 8805 9720 10566 11740 14088 15849 17610 21132 23480 26415 31698 35220 42264 47547 52830 63396 70440 79245 95094 105660 126792 142641 158490 190188 211320 237735 285282 316980 380376 475470 570564 633960 713205 950940 1141128 1426410 1901880 2852820 5705640