Search a number
-
+
2515072 = 2772401
BaseRepresentation
bin1001100110000010000000
311201210000211
421212002000
51120440242
6125523504
730243400
oct11460200
94653024
102515072
11146867a
12a13594
136a0a11
14496800
1534a317
hex266080

2515072 has 48 divisors (see below), whose sum is σ = 5843070. Its totient is φ = 1075200.

The previous prime is 2515067. The next prime is 2515081. The reversal of 2515072 is 2705152.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 1132096 = 1176^2 + 1064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6072 + ... + 6472.

22515072 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 2515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921535).

2515072 is an abundant number, since it is smaller than the sum of its proper divisors (3327998).

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

2515072 is an equidigital number, since it uses as much as digits as its factorization.

2515072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 2515072 is about 1585.8978529527. The cubic root of 2515072 is about 135.9930792326.

The spelling of 2515072 in words is "two million, five hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 401 448 784 802 896 1568 1604 2807 3136 3208 5614 6272 6416 11228 12832 19649 22456 25664 39298 44912 51328 78596 89824 157192 179648 314384 359296 628768 1257536 2515072