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2465940 = 223573563
BaseRepresentation
bin1001011010000010010100
311122021122010
421122002110
51112402230
6124504220
726650221
oct11320224
94567563
102465940
111434774
129ab070
13684549
14482948
1533a9b0
hex25a094

2465940 has 48 divisors (see below), whose sum is σ = 7011648. Its totient is φ = 647424.

The previous prime is 2465933. The next prime is 2465941. The reversal of 2465940 is 495642.

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 = 2465898 and 2465907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465941) 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, 4099 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (146076).

22465940 is an apocalyptic number.

2465940 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 2465940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505824).

2465940 is an abundant number, since it is smaller than the sum of its proper divisors (4545708).

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

2465940 is a wasteful number, since it uses less digits than its factorization.

2465940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2465940 is about 1570.3311752621. The cubic root of 2465940 is about 135.1017066215.

The spelling of 2465940 in words is "two million, four hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 563 730 876 1095 1126 1460 1689 2190 2252 2815 3378 4380 5630 6756 8445 11260 16890 33780 41099 82198 123297 164396 205495 246594 410990 493188 616485 821980 1232970 2465940