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3113760 = 253513499
BaseRepresentation
bin1011111000001100100000
312212012021110
423320030200
51244120020
6150423320
735316006
oct13701440
95765243
103113760
111837461
121061b40
13850380
145b0a76
154178e0
hex2f8320

3113760 has 96 divisors (see below), whose sum is σ = 10584000. Its totient is φ = 764928.

The previous prime is 3113723. The next prime is 3113767. The reversal of 3113760 is 673113.

3113760 is a nontrivial binomial coefficient, being equal to C(2496, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5991 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

Almost surely, 23113760 is an apocalyptic number.

3113760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3113760 is the 2495-th triangular number and also the 1248-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000).

3113760 is an abundant number, since it is smaller than the sum of its proper divisors (7470240).

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

3113760 is a wasteful number, since it uses less digits than its factorization.

3113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3113760 is about 1764.5849370319. The cubic root of 3113760 is about 146.0253912178.

Adding to 3113760 its reverse (673113), we get a palindrome (3786873).

The spelling of 3113760 in words is "three million, one hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 499 520 624 780 998 1040 1248 1497 1560 1996 2080 2495 2994 3120 3992 4990 5988 6240 6487 7485 7984 9980 11976 12974 14970 15968 19461 19960 23952 25948 29940 32435 38922 39920 47904 51896 59880 64870 77844 79840 97305 103792 119760 129740 155688 194610 207584 239520 259480 311376 389220 518960 622752 778440 1037920 1556880 3113760