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2941056 = 27332337
BaseRepresentation
bin1011001110000010000000
312112102101000
423032002000
51223103211
6143012000
733666336
oct13160200
95472330
102941056
111729728
12b9a000
137bc891
14567b56
153d1656
hex2ce080

2941056 has 128 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 912384.

The previous prime is 2941049. The next prime is 2941073. The reversal of 2941056 is 6501492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

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, 79470 + ... + 79506.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

22941056 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 2941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

2941056 is an abundant number, since it is smaller than the sum of its proper divisors (6361344).

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

2941056 is a wasteful number, since it uses less digits than its factorization.

2941056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2941056 is about 1714.9507281552. The cubic root of 2941056 is about 143.2741249355.

The spelling of 2941056 in words is "two million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 37 46 48 54 64 69 72 74 92 96 108 111 128 138 144 148 184 192 207 216 222 276 288 296 333 368 384 414 432 444 552 576 592 621 666 736 828 851 864 888 999 1104 1152 1184 1242 1332 1472 1656 1702 1728 1776 1998 2208 2368 2484 2553 2664 2944 3312 3404 3456 3552 3996 4416 4736 4968 5106 5328 6624 6808 7104 7659 7992 8832 9936 10212 10656 13248 13616 14208 15318 15984 19872 20424 21312 22977 26496 27232 30636 31968 39744 40848 42624 45954 54464 61272 63936 79488 81696 91908 108928 122544 127872 163392 183816 245088 326784 367632 490176 735264 980352 1470528 2941056