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4871040 = 27354359
BaseRepresentation
bin10010100101001110000000
3100011110210220
4102211032000
52221333130
6252223040
756255166
oct22451600
910143726
104871040
112827759
12176aa80
131017195
1490b236
15663410
hex4a5380

4871040 has 128 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1247232.

The previous prime is 4871029. The next prime is 4871057. The reversal of 4871040 is 401784.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4871040.

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, 82531 + ... + 82589.

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

Almost surely, 24871040 is an apocalyptic number.

4871040 is a gapful number since it is divisible by the number (40) 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 4871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

4871040 is an abundant number, since it is smaller than the sum of its proper divisors (11285760).

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

4871040 is a wasteful number, since it uses less digits than its factorization.

4871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4871040 is about 2207.0432709850. The cubic root of 4871040 is about 169.5146479279.

The spelling of 4871040 in words is "four million, eight hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 59 60 64 80 86 96 118 120 128 129 160 172 177 192 215 236 240 258 295 320 344 354 384 430 472 480 516 590 640 645 688 708 860 885 944 960 1032 1180 1290 1376 1416 1720 1770 1888 1920 2064 2360 2537 2580 2752 2832 3440 3540 3776 4128 4720 5074 5160 5504 5664 6880 7080 7552 7611 8256 9440 10148 10320 11328 12685 13760 14160 15222 16512 18880 20296 20640 22656 25370 27520 28320 30444 37760 38055 40592 41280 50740 56640 60888 76110 81184 82560 101480 113280 121776 152220 162368 202960 243552 304440 324736 405920 487104 608880 811840 974208 1217760 1623680 2435520 4871040