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2012256 = 253317137
BaseRepresentation
bin111101011010001100000
310210020022000
413223101200
51003343011
6111044000
723050431
oct7532140
93706260
102012256
111154924
12810600
13555bac
143a5488
1529b356
hex1eb460

2012256 has 96 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 626688.

The previous prime is 2012243. The next prime is 2012287. The reversal of 2012256 is 6522102.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14620 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (65205).

22012256 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 2012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2012256 is an abundant number, since it is smaller than the sum of its proper divisors (4247424).

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

2012256 is a wasteful number, since it uses less digits than its factorization.

2012256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

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

The square root of 2012256 is about 1418.5400946043. The cubic root of 2012256 is about 126.2489409446.

Adding to 2012256 its reverse (6522102), we get a palindrome (8534358).

The spelling of 2012256 in words is "two million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 137 144 153 204 216 272 274 288 306 408 411 432 459 544 548 612 816 822 864 918 1096 1224 1233 1632 1644 1836 2192 2329 2448 2466 3288 3672 3699 4384 4658 4896 4932 6576 6987 7344 7398 9316 9864 13152 13974 14688 14796 18632 19728 20961 27948 29592 37264 39456 41922 55896 59184 62883 74528 83844 111792 118368 125766 167688 223584 251532 335376 503064 670752 1006128 2012256