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2313780 = 223572787
BaseRepresentation
bin1000110100111000110100
311100112220120
420310320310
51043020110
6121331540
725444500
oct10647064
94315816
102313780
111340417
12936bb0
13630201
14443300
1530a870
hex234e34

2313780 has 72 divisors (see below), whose sum is σ = 7545888. Its totient is φ = 528192.

The previous prime is 2313769. The next prime is 2313797. The reversal of 2313780 is 873132.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2313780.

It is a congruent number.

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, 2547 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (104804).

22313780 is an apocalyptic number.

2313780 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 2313780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772944).

2313780 is an abundant number, since it is smaller than the sum of its proper divisors (5232108).

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

2313780 is a wasteful number, since it uses less digits than its factorization.

2313780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2313780 is about 1521.1114357600. Note that the first 3 decimals coincide. The cubic root of 2313780 is about 132.2637060658.

The spelling of 2313780 in words is "two million, three hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 787 980 1470 1574 2361 2940 3148 3935 4722 5509 7870 9444 11018 11805 15740 16527 22036 23610 27545 33054 38563 47220 55090 66108 77126 82635 110180 115689 154252 165270 192815 231378 330540 385630 462756 578445 771260 1156890 2313780