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2553138 = 232723881
BaseRepresentation
bin1001101111010100110010
311210201020200
421233110302
51123200023
6130420030
730462360
oct11572462
94721220
102553138
111494235
12a31616
136b5143
144a6630
15356743
hex26f532

2553138 has 48 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 696960.

The previous prime is 2553119. The next prime is 2553139. The reversal of 2553138 is 8313552.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2553139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458 + ... + 3338.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

22553138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2553138 is an abundant number, since it is smaller than the sum of its proper divisors (4051278).

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

2553138 is a wasteful number, since it uses less digits than its factorization.

2553138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2553138 is about 1597.8541860883. The cubic root of 2553138 is about 136.6757387064.

The spelling of 2553138 in words is "two million, five hundred fifty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 881 966 1449 1762 2643 2898 5286 6167 7929 12334 15858 18501 20263 37002 40526 55503 60789 111006 121578 141841 182367 283682 364734 425523 851046 1276569 2553138