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2114528 = 251321723
BaseRepresentation
bin1000000100001111100000
310222102120212
420010033200
51020131103
6113153252
723654543
oct10041740
93872525
102114528
111214749
1285b828
13590600
143d085a
152bb7d8
hex2043e0

2114528 has 72 divisors (see below), whose sum is σ = 4980528. Its totient is φ = 878592.

The previous prime is 2114509. The next prime is 2114531. The reversal of 2114528 is 8254112.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 11 ways as a sum of consecutive naturals, for example, 91925 + ... + 91947.

It is an arithmetic number, because the mean of its divisors is an integer number (69174).

22114528 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 2114528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490264).

2114528 is an abundant number, since it is smaller than the sum of its proper divisors (2866000).

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

2114528 is a wasteful number, since it uses less digits than its factorization.

2114528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 2114528 is about 1454.1416712274. The cubic root of 2114528 is about 128.3525437407.

The spelling of 2114528 in words is "two million, one hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 68 92 104 136 169 184 208 221 272 299 338 368 391 416 442 544 598 676 736 782 884 1196 1352 1564 1768 2392 2704 2873 3128 3536 3887 4784 5083 5408 5746 6256 7072 7774 9568 10166 11492 12512 15548 20332 22984 31096 40664 45968 62192 66079 81328 91936 124384 132158 162656 264316 528632 1057264 2114528