Search a number
-
+
2815072 = 251367101
BaseRepresentation
bin1010101111010001100000
312022000112221
422233101200
51210040242
6140200424
732633131
oct12572140
95260487
102815072
111653007
12b39114
13777430
14533c88
153a9167
hex2af460

2815072 has 48 divisors (see below), whose sum is σ = 6117552. Its totient is φ = 1267200.

The previous prime is 2815069. The next prime is 2815073. The reversal of 2815072 is 2705182.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2815073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27822 + ... + 27922.

It is an arithmetic number, because the mean of its divisors is an integer number (127449).

22815072 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 2815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058776).

2815072 is an abundant number, since it is smaller than the sum of its proper divisors (3302480).

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

2815072 is a wasteful number, since it uses less digits than its factorization.

2815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2815072 is about 1677.8176301374. The cubic root of 2815072 is about 141.1984195721.

The spelling of 2815072 in words is "two million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 67 101 104 134 202 208 268 404 416 536 808 871 1072 1313 1616 1742 2144 2626 3232 3484 5252 6767 6968 10504 13534 13936 21008 27068 27872 42016 54136 87971 108272 175942 216544 351884 703768 1407536 2815072