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2401056 = 25337397
BaseRepresentation
bin1001001010001100100000
311111222122000
421022030200
51103313211
6123244000
726260110
oct11121440
94458560
102401056
11139aa49
12979600
13660b58
14467040
15326656
hex24a320

2401056 has 96 divisors (see below), whose sum is σ = 8023680. Its totient is φ = 684288.

The previous prime is 2401037. The next prime is 2401103. The reversal of 2401056 is 6501042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5850 + ... + 6246.

It is an arithmetic number, because the mean of its divisors is an integer number (83580).

22401056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011840).

2401056 is an abundant number, since it is smaller than the sum of its proper divisors (5622624).

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

2401056 is a wasteful number, since it uses less digits than its factorization.

2401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2401056 is about 1549.5341235352. The cubic root of 2401056 is about 133.9062238370.

Adding to 2401056 its reverse (6501042), we get a palindrome (8902098).

It can be divided in two parts, 240 and 1056, that added together give a 4-th power (1296 = 64).

The spelling of 2401056 in words is "two million, four hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 397 432 504 672 756 794 864 1008 1191 1512 1588 2016 2382 2779 3024 3176 3573 4764 5558 6048 6352 7146 8337 9528 10719 11116 12704 14292 16674 19056 21438 22232 25011 28584 33348 38112 42876 44464 50022 57168 66696 75033 85752 88928 100044 114336 133392 150066 171504 200088 266784 300132 343008 400176 600264 800352 1200528 2401056