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2553714 = 233192131
BaseRepresentation
bin1001101111011101110010
311210202001000
421233131302
51123204324
6130422430
730464142
oct11573562
94722030
102553714
111494709
12a31a16
136b5497
144a6922
153569c9
hex26f772

2553714 has 48 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 800280.

The previous prime is 2553701. The next prime is 2553739. The reversal of 2553714 is 4173552.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19429 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (125730).

22553714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

2553714 is an abundant number, since it is smaller than the sum of its proper divisors (3481326).

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

2553714 is a wasteful number, since it uses less digits than its factorization.

2553714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 2553714 is about 1598.0344176519. The cubic root of 2553714 is about 136.6860161644.

It can be divided in two parts, 255 and 3714, that added together give a square (3969 = 632).

The spelling of 2553714 in words is "two million, five hundred fifty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 131 171 262 342 361 393 513 722 786 1026 1083 1179 2166 2358 2489 3249 3537 4978 6498 7074 7467 9747 14934 19494 22401 44802 47291 67203 94582 134406 141873 283746 425619 851238 1276857 2553714