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2540772 = 2232136189
BaseRepresentation
bin1001101100010011100100
311210002021200
421230103210
51122301042
6130242500
730411333
oct11542344
94702250
102540772
111485a13
12a26430
136ac620
144a1d1a
15352c4c
hex26c4e4

2540772 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 760320.

The previous prime is 2540771. The next prime is 2540789. The reversal of 2540772 is 2770452.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 2359296 = 426^2 + 1536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540771) 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, 28504 + ... + 28592.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

22540772 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 2540772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2540772 is an abundant number, since it is smaller than the sum of its proper divisors (4568148).

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

2540772 is a wasteful number, since it uses less digits than its factorization.

2540772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2540772 is about 1593.9799245913. The cubic root of 2540772 is about 136.4547207222.

The spelling of 2540772 in words is "two million, five hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 89 117 122 156 178 183 234 244 267 356 366 468 534 549 732 793 801 1068 1098 1157 1586 1602 2196 2314 2379 3172 3204 3471 4628 4758 5429 6942 7137 9516 10413 10858 13884 14274 16287 20826 21716 28548 32574 41652 48861 65148 70577 97722 141154 195444 211731 282308 423462 635193 846924 1270386 2540772