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2871840 = 253531193
BaseRepresentation
bin1010111101001000100000
312101220102110
422331020200
51213344330
6141315320
733260466
oct12751040
95356373
102871840
111691724
12b65b40
1379721a
1454a836
153badb0
hex2bd220

2871840 has 96 divisors (see below), whose sum is σ = 9386496. Its totient is φ = 737280.

The previous prime is 2871833. The next prime is 2871853. The reversal of 2871840 is 481782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2871798 and 2871807.

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, 14784 + ... + 14976.

It is an arithmetic number, because the mean of its divisors is an integer number (97776).

22871840 is an apocalyptic number.

2871840 is a gapful number since it is divisible by the number (20) 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 2871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693248).

2871840 is an abundant number, since it is smaller than the sum of its proper divisors (6514656).

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

2871840 is a wasteful number, since it uses less digits than its factorization.

2871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2871840 is about 1694.6504064261. The cubic root of 2871840 is about 142.1412335482.

The spelling of 2871840 in words is "two million, eight hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 193 240 248 310 372 386 465 480 496 579 620 744 772 930 965 992 1158 1240 1488 1544 1860 1930 2316 2480 2895 2976 3088 3720 3860 4632 4960 5790 5983 6176 7440 7720 9264 11580 11966 14880 15440 17949 18528 23160 23932 29915 30880 35898 46320 47864 59830 71796 89745 92640 95728 119660 143592 179490 191456 239320 287184 358980 478640 574368 717960 957280 1435920 2871840