Search a number
-
+
3073960 = 235313767
BaseRepresentation
bin1011101110011110101000
312210011200101
423232132220
51241331320
6145515144
735061661
oct13563650
95704611
103073960
11180a56a
121042ab4
13838216
145a0368
1540ac0a
hex2ee7a8

3073960 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 1140480.

The previous prime is 3073951. The next prime is 3073963. The reversal of 3073960 is 693703.

3073960 is a nontrivial binomial coefficient, being equal to C(2480, 2).

It is not an unprimeable number, because it can be changed into a prime (3073963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45847 + ... + 45913.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 23073960 is an apocalyptic number.

3073960 is the 2479-th triangular number and also the 1240-th hexagonal number.

3073960 is the 827-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3073960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

3073960 is an abundant number, since it is smaller than the sum of its proper divisors (4367960).

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

3073960 is a wasteful number, since it uses less digits than its factorization.

3073960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 3073960 is about 1753.2712283044. The cubic root of 3073960 is about 145.4005571417.

The spelling of 3073960 in words is "three million, seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 67 74 124 134 148 155 185 248 268 296 310 335 370 536 620 670 740 1147 1240 1340 1480 2077 2294 2479 2680 4154 4588 4958 5735 8308 9176 9916 10385 11470 12395 16616 19832 20770 22940 24790 41540 45880 49580 76849 83080 99160 153698 307396 384245 614792 768490 1536980 3073960