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16001874 = 2347103137
BaseRepresentation
bin111101000010…
…101101010010
31010002222110000
4331002231102
513044024444
61330550430
7253004460
oct75025522
933088400
1016001874
11903a499
125438416
133413685
1421a7830
151611469
hexf42b52

16001874 has 80 divisors (see below), whose sum is σ = 41678208. Its totient is φ = 4494528.

The previous prime is 16001863. The next prime is 16001893. The reversal of 16001874 is 47810061.

It is a happy number.

16001874 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116734 + ... + 116870.

Almost surely, 216001874 is an apocalyptic number.

16001874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16001874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839104).

16001874 is an abundant number, since it is smaller than the sum of its proper divisors (25676334).

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

16001874 is a wasteful number, since it uses less digits than its factorization.

16001874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 16001874 is about 4000.2342431413. The cubic root of 16001874 is about 251.9940474784.

The spelling of 16001874 in words is "sixteen million, one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 103 126 137 162 189 206 274 309 378 411 567 618 721 822 927 959 1134 1233 1442 1854 1918 2163 2466 2781 2877 3699 4326 5562 5754 6489 7398 8343 8631 11097 12978 14111 16686 17262 19467 22194 25893 28222 38934 42333 51786 58401 77679 84666 98777 116802 126999 155358 197554 253998 296331 380997 592662 761994 888993 1142991 1777986 2285982 2666979 5333958 8000937 16001874