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16313088 = 283111931
BaseRepresentation
bin111110001110…
…101100000000
31010200210100110
4332032230000
513134004323
61341351320
7255442011
oct76165400
933623313
1016313088
1192322a0
125568540
1334c221c
142249008
151673793
hexf8eb00

16313088 has 72 divisors (see below), whose sum is σ = 47388096. Its totient is φ = 4940800.

The previous prime is 16313083. The next prime is 16313107. The reversal of 16313088 is 88031361.

It is a super-2 number, since 2×163130882 = 532233680191488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16313083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7483 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (658168).

Almost surely, 216313088 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 16313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694048).

16313088 is an abundant number, since it is smaller than the sum of its proper divisors (31075008).

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

16313088 is a wasteful number, since it uses less digits than its factorization.

16313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 16313088 is about 4038.9463972675. The cubic root of 16313088 is about 253.6172133194.

The spelling of 16313088 in words is "sixteen million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1931 2112 2816 3862 4224 5793 7724 8448 11586 15448 21241 23172 30896 42482 46344 61792 63723 84964 92688 123584 127446 169928 185376 247168 254892 339856 370752 494336 509784 679712 741504 1019568 1359424 1483008 2039136 2718848 4078272 5437696 8156544 16313088