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16000842 = 231113171097
BaseRepresentation
bin111101000010…
…011101001010
31010002221000210
4331002131022
513044011332
61330541550
7253001454
oct75023512
933087023
1016000842
119039740
1254378b6
133413070
1421a72d4
151610ecc
hexf4274a

16000842 has 64 divisors (see below), whose sum is σ = 39844224. Its totient is φ = 4208640.

The previous prime is 16000841. The next prime is 16000877. The reversal of 16000842 is 24800061.

16000842 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 not an unprimeable number, because it can be changed into a prime (16000841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14038 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (622566).

Almost surely, 216000842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16000842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112).

16000842 is an abundant number, since it is smaller than the sum of its proper divisors (23843382).

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

16000842 is a wasteful number, since it uses less digits than its factorization.

16000842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 16000842 is about 4000.1052486153. The cubic root of 16000842 is about 251.9886301245.

The spelling of 16000842 in words is "sixteen million, eight hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1097 1122 1326 2194 2431 3291 4862 6582 7293 12067 14261 14586 18649 24134 28522 36201 37298 42783 55947 72402 85566 111894 156871 205139 242437 313742 410278 470613 484874 615417 727311 941226 1230834 1454622 2666807 5333614 8000421 16000842