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4056960 = 27352113
BaseRepresentation
bin1111011110011110000000
321122010002210
433132132000
52014310320
6222542120
746324605
oct17363600
97563083
104056960
112321066
121437940
13ac078b
147786ac
155520e0
hex3de780

4056960 has 64 divisors (see below), whose sum is σ = 12937680. Its totient is φ = 1081344.

The previous prime is 4056919. The next prime is 4056967. The reversal of 4056960 is 696504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 2976.

Almost surely, 24056960 is an apocalyptic number.

4056960 is a gapful number since it is divisible by the number (40) 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 4056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468840).

4056960 is an abundant number, since it is smaller than the sum of its proper divisors (8880720).

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

4056960 is a wasteful number, since it uses less digits than its factorization.

4056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4056960 is about 2014.1896633634. The cubic root of 4056960 is about 159.4900430428.

The spelling of 4056960 in words is "four million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2113 4226 6339 8452 10565 12678 16904 21130 25356 31695 33808 42260 50712 63390 67616 84520 101424 126780 135232 169040 202848 253560 270464 338080 405696 507120 676160 811392 1014240 1352320 2028480 4056960