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4020960 = 25358377
BaseRepresentation
bin1111010101101011100000
321120021201110
433111223200
52012132320
6222103320
746114626
oct17255340
97507643
104020960
1122a7009
12141ab40
13aaa288
14769516
155465e0
hex3d5ae0

4020960 has 48 divisors (see below), whose sum is σ = 12667536. Its totient is φ = 1072128.

The previous prime is 4020949. The next prime is 4020977. The reversal of 4020960 is 690204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (263907).

Almost surely, 24020960 is an apocalyptic number.

4020960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020960 is an abundant number, since it is smaller than the sum of its proper divisors (8646576).

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

4020960 is a wasteful number, since it uses less digits than its factorization.

4020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8387 counting only the distinct ones).

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

The square root of 4020960 is about 2005.2331535260. The cubic root of 4020960 is about 159.0168883608.

The spelling of 4020960 in words is "four million, twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8377 16754 25131 33508 41885 50262 67016 83770 100524 125655 134032 167540 201048 251310 268064 335080 402096 502620 670160 804192 1005240 1340320 2010480 4020960