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16245072 = 2432373049
BaseRepresentation
bin111101111110…
…000101010000
31010120100001100
4331332011100
513124320242
61340104400
7255036504
oct75760520
933510040
1016245072
119196188
125535100
13349a28c
14222c304
15165d54c
hexf7e150

16245072 has 60 divisors (see below), whose sum is σ = 46707700. Its totient is φ = 5266944.

The previous prime is 16245059. The next prime is 16245079. The reversal of 16245072 is 27054261.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 8088336 = 2856^2 + 2844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16245079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3804 + ... + 6852.

Almost surely, 216245072 is an apocalyptic number.

16245072 is a gapful number since it is divisible by the number (12) 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 16245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353850).

16245072 is an abundant number, since it is smaller than the sum of its proper divisors (30462628).

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

16245072 is a wasteful number, since it uses less digits than its factorization.

16245072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 16245072 is about 4030.5175846286. The cubic root of 16245072 is about 253.2642440097.

It can be divided in two parts, 162450 and 72, that multiplied together give a square (11696400 = 34202).

The spelling of 16245072 in words is "sixteen million, two hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3049 5328 6098 9147 12196 18294 24392 27441 36588 48784 54882 73176 109764 112813 146352 219528 225626 338439 439056 451252 676878 902504 1015317 1353756 1805008 2030634 2707512 4061268 5415024 8122536 16245072