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2064272 = 24722633
BaseRepresentation
bin111110111111110010000
310212212122112
413313332100
51012024042
6112124452
723355200
oct7677620
93785575
102064272
11118aa11
12836728
13573782
143ba400
152ab982
hex1f7f90

2064272 has 30 divisors (see below), whose sum is σ = 4654278. Its totient is φ = 884352.

The previous prime is 2064263. The next prime is 2064277. The reversal of 2064272 is 2724602.

It can be written as a sum of positive squares in only one way, i.e., 1449616 + 614656 = 1204^2 + 784^2 .

It is a super-2 number, since 2×20642722 = 8522437779968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2064277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 533 + ... + 2100.

22064272 is an apocalyptic number.

It is an amenable number.

2064272 is an abundant number, since it is smaller than the sum of its proper divisors (2590006).

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

2064272 is a wasteful number, since it uses less digits than its factorization.

2064272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2064272 is about 1436.7574603948. The cubic root of 2064272 is about 127.3275279159.

Adding to 2064272 its reverse (2724602), we get a palindrome (4788874).

The spelling of 2064272 in words is "two million, sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2633 5266 10532 18431 21064 36862 42128 73724 129017 147448 258034 294896 516068 1032136 2064272