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16125768 = 2332223969
BaseRepresentation
bin111101100000…
…111101001000
31010100021101200
4331200331020
513112011033
61333344200
7254031621
oct75407510
933307350
1016125768
11911458a
125498060
133457b99
1421daa48
151638013
hexf60f48

16125768 has 24 divisors (see below), whose sum is σ = 43674150. Its totient is φ = 5375232.

The previous prime is 16125763. The next prime is 16125779. The reversal of 16125768 is 86752161.

16125768 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., 11009124 + 5116644 = 3318^2 + 2262^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16125763) 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, 111913 + ... + 112056.

Almost surely, 216125768 is an apocalyptic number.

16125768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16125768 is an abundant number, since it is smaller than the sum of its proper divisors (27548382).

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

16125768 is a wasteful number, since it uses less digits than its factorization.

16125768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223981 (or 223974 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 16125768 is about 4015.6902270967. The cubic root of 16125768 is about 252.6427281812.

The spelling of 16125768 in words is "sixteen million, one hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223969 447938 671907 895876 1343814 1791752 2015721 2687628 4031442 5375256 8062884 16125768