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2925840 = 243573167
BaseRepresentation
bin1011001010010100010000
312111122111110
423022110100
51222111330
6142413320
733604101
oct13122420
95448443
102925840
111719255
12b91240
137b5988
145623a8
153cbdb0
hex2ca510

2925840 has 80 divisors (see below), whose sum is σ = 9249408. Its totient is φ = 764928.

The previous prime is 2925827. The next prime is 2925841. The reversal of 2925840 is 485292.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2925798 and 2925807.

It is not an unprimeable number, because it can be changed into a prime (2925841) 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, 17437 + ... + 17603.

22925840 is an apocalyptic number.

2925840 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 2925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624704).

2925840 is an abundant number, since it is smaller than the sum of its proper divisors (6323568).

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

2925840 is a wasteful number, since it uses less digits than its factorization.

2925840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2925840 is about 1710.5086962655. The cubic root of 2925840 is about 143.0266141150.

The spelling of 2925840 in words is "two million, nine hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 167 219 240 292 334 365 438 501 584 668 730 835 876 1002 1095 1168 1336 1460 1670 1752 2004 2190 2505 2672 2920 3340 3504 4008 4380 5010 5840 6680 8016 8760 10020 12191 13360 17520 20040 24382 36573 40080 48764 60955 73146 97528 121910 146292 182865 195056 243820 292584 365730 487640 585168 731460 975280 1462920 2925840