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3115840 = 265713107
BaseRepresentation
bin1011111000101101000000
312212022010111
423320231000
51244201330
6150441104
735325040
oct13705500
95768114
103115840
111838a82
121063194
138512c0
145b1720
1541832a
hex2f8b40

3115840 has 112 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 976896.

The previous prime is 3115831. The next prime is 3115873. The reversal of 3115840 is 485113.

3115840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 29067 + ... + 29173.

It is an arithmetic number, because the mean of its divisors is an integer number (82296).

Almost surely, 23115840 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 3115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3115840 is an abundant number, since it is smaller than the sum of its proper divisors (6101312).

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

3115840 is a wasteful number, since it uses less digits than its factorization.

3115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 3115840 is about 1765.1742123655. The cubic root of 3115840 is about 146.0578990976.

The spelling of 3115840 in words is "three million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 107 112 130 140 160 182 208 214 224 260 280 320 364 416 428 448 455 520 535 560 728 749 832 856 910 1040 1070 1120 1391 1456 1498 1712 1820 2080 2140 2240 2782 2912 2996 3424 3640 3745 4160 4280 5564 5824 5992 6848 6955 7280 7490 8560 9737 11128 11984 13910 14560 14980 17120 19474 22256 23968 27820 29120 29960 34240 38948 44512 47936 48685 55640 59920 77896 89024 97370 111280 119840 155792 194740 222560 239680 311584 389480 445120 623168 778960 1557920 3115840