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2133054 = 23671119
BaseRepresentation
bin1000001000110000111110
311000101000000
420020300332
51021224204
6113415130
724062550
oct10106076
94011000
102133054
111227660
1286a4a6
13598b81
143d74d0
152c2039
hex208c3e

2133054 has 112 divisors (see below), whose sum is σ = 6295680. Its totient is φ = 524880.

The previous prime is 2133049. The next prime is 2133059. The reversal of 2133054 is 4503312.

It is an interprime number because it is at equal distance from previous prime (2133049) and next prime (2133059).

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

It is a d-powerful number, because it can be written as 211 + 1 + 36 + 311 + 0 + 59 + 4 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133059) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 112257 + ... + 112275.

22133054 is an apocalyptic number.

2133054 is the 924-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147840).

2133054 is an abundant number, since it is smaller than the sum of its proper divisors (4162626).

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

2133054 is a wasteful number, since it uses less digits than its factorization.

2133054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2133054 is about 1460.4978603202. The cubic root of 2133054 is about 128.7262990903.

Adding to 2133054 its reverse (4503312), we get a palindrome (6636366).

The spelling of 2133054 in words is "two million, one hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 81 99 114 126 133 154 162 171 189 198 209 231 243 266 297 342 378 399 418 462 486 513 567 594 627 693 729 798 891 1026 1134 1197 1254 1386 1458 1463 1539 1701 1782 1881 2079 2394 2673 2926 3078 3402 3591 3762 4158 4389 4617 5103 5346 5643 6237 7182 8019 8778 9234 10206 10773 11286 12474 13167 13851 16038 16929 18711 21546 26334 27702 32319 33858 37422 39501 50787 56133 64638 79002 96957 101574 112266 118503 152361 193914 237006 304722 355509 711018 1066527 2133054