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2960040 = 2335171451
BaseRepresentation
bin1011010010101010101000
312120101102010
423102222220
51224210130
6143235520
734105566
oct13225250
95511363
102960040
111741a16
12ba8ba0
137c8405
14570a36
153d70b0
hex2d2aa8

2960040 has 64 divisors (see below), whose sum is σ = 9408960. Its totient is φ = 742400.

The previous prime is 2960039. The next prime is 2960047. The reversal of 2960040 is 400692.

It is a junction number, because it is equal to n+sod(n) for n = 2959989 and 2960016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960047) 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, 1315 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

22960040 is an apocalyptic number.

2960040 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 2960040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480).

2960040 is an abundant number, since it is smaller than the sum of its proper divisors (6448920).

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

2960040 is a wasteful number, since it uses less digits than its factorization.

2960040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2960040 is about 1720.4766781331. The cubic root of 2960040 is about 143.5817338001.

The spelling of 2960040 in words is "two million, nine hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1451 2040 2902 4353 5804 7255 8706 11608 14510 17412 21765 24667 29020 34824 43530 49334 58040 74001 87060 98668 123335 148002 174120 197336 246670 296004 370005 493340 592008 740010 986680 1480020 2960040