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2406272 = 27111709
BaseRepresentation
bin1001001011011110000000
311112020210012
421023132000
51104000042
6123324052
726311241
oct11133600
94466705
102406272
1113a3960
12980628
1366333b
14468cc8
15327e82
hex24b780

2406272 has 32 divisors (see below), whose sum is σ = 5232600. Its totient is φ = 1093120.

The previous prime is 2406263. The next prime is 2406277. The reversal of 2406272 is 2726042.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554 + ... + 2262.

22406272 is an apocalyptic number.

2406272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616300).

2406272 is an abundant number, since it is smaller than the sum of its proper divisors (2826328).

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

2406272 is a wasteful number, since it uses less digits than its factorization.

2406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

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

The square root of 2406272 is about 1551.2162969747. The cubic root of 2406272 is about 134.0031186621.

The spelling of 2406272 in words is "two million, four hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1709 3418 6836 13672 18799 27344 37598 54688 75196 109376 150392 218752 300784 601568 1203136 2406272