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16000974 = 23211211383
BaseRepresentation
bin111101000010…
…011111001110
31010002221012200
4331002133032
513044012344
61330542330
7253002033
oct75023716
933087180
1016000974
119039850
1254379a6
133413142
1421a738a
151611069
hexf427ce

16000974 has 48 divisors (see below), whose sum is σ = 38098944. Its totient is φ = 4813200.

The previous prime is 16000973. The next prime is 16000979. The reversal of 16000974 is 47900061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16000973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41587 + ... + 41969.

It is an arithmetic number, because the mean of its divisors is an integer number (793728).

Almost surely, 216000974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16000974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049472).

16000974 is an abundant number, since it is smaller than the sum of its proper divisors (22097970).

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

16000974 is a wasteful number, since it uses less digits than its factorization.

16000974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16000974 is about 4000.1217481472. The cubic root of 16000974 is about 251.9893230548.

The spelling of 16000974 in words is "sixteen million, nine hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 383 422 633 766 1149 1266 1899 2298 2321 3447 3798 4213 4642 6894 6963 8426 12639 13926 20889 25278 37917 41778 75834 80813 161626 242439 484878 727317 888943 1454634 1777886 2666829 5333658 8000487 16000974