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1354272 = 25314107
BaseRepresentation
bin101001010101000100000
32112210201020
411022220200
5321314042
645005440
714340213
oct5125040
92483636
101354272
11845537
12553880
1338555a
1427377a
151bb3ec
hex14aa20

1354272 has 24 divisors (see below), whose sum is σ = 3555216. Its totient is φ = 451392.

The previous prime is 1354267. The next prime is 1354289. The reversal of 1354272 is 2724531.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 37 + 53 + 46 + 25 + 77 + 219 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6958 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (148134).

21354272 is an apocalyptic number.

1354272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1354272 is an abundant number, since it is smaller than the sum of its proper divisors (2200944).

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

1354272 is a wasteful number, since it uses less digits than its factorization.

1354272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 14112 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 1354272 is about 1163.7319278940. The cubic root of 1354272 is about 110.6374013356.

It can be divided in two parts, 13 and 54272, that added together give a triangular number (54285 = T329).

The spelling of 1354272 in words is "one million, three hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14107 28214 42321 56428 84642 112856 169284 225712 338568 451424 677136 1354272