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16363072 = 261122113
BaseRepresentation
bin111110011010…
…111001000000
31010210022220201
4332122321000
513142104242
61342414544
7256040515
oct76327100
933708821
1016363072
119266900
125591454
13350bbbb
14225d30c
1516834b7
hexf9ae40

16363072 has 42 divisors (see below), whose sum is σ = 35707574. Its totient is φ = 7434240.

The previous prime is 16363043. The next prime is 16363073. The reversal of 16363072 is 27036361.

16363072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8433216 + 7929856 = 2904^2 + 2816^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 16363072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16363073) 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, 6688 + ... + 8800.

Almost surely, 216363072 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 16363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853787).

16363072 is an abundant number, since it is smaller than the sum of its proper divisors (19344502).

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

16363072 is a wasteful number, since it uses less digits than its factorization.

16363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 16363072 is about 4045.1294169655. The cubic root of 16363072 is about 253.8759805408.

Subtracting 16363072 from its reverse (27036361), we obtain a square (10673289 = 32672).

The spelling of 16363072 in words is "sixteen million, three hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 2113 3872 4226 7744 8452 16904 23243 33808 46486 67616 92972 135232 185944 255673 371888 511346 743776 1022692 1487552 2045384 4090768 8181536 16363072