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16609968 = 243338449
BaseRepresentation
bin111111010111…
…001010110000
31011020212121000
4333113022300
513223004333
61352002000
7261116364
oct77271260
934225530
1016609968
119415351
125690300
1335973ab
1422c52a4
1516d1713
hexfd72b0

16609968 has 40 divisors (see below), whose sum is σ = 47678000. Its totient is φ = 5536512.

The previous prime is 16609963. The next prime is 16609973. The reversal of 16609968 is 86990661.

It is an interprime number because it is at equal distance from previous prime (16609963) and next prime (16609973).

It is a super-2 number, since 2×166099682 = 551782073922048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16609963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18793 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (1191950).

Almost surely, 216609968 is an apocalyptic number.

16609968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16609968 is an abundant number, since it is smaller than the sum of its proper divisors (31068032).

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

16609968 is a wasteful number, since it uses less digits than its factorization.

16609968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38466 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 16609968 is about 4075.5328485978. The cubic root of 16609968 is about 255.1464902239.

It can be divided in two parts, 1660 and 9968, that added together give a triangular number (11628 = T152).

The spelling of 16609968 in words is "sixteen million, six hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 38449 76898 115347 153796 230694 307592 346041 461388 615184 692082 922776 1038123 1384164 1845552 2076246 2768328 4152492 5536656 8304984 16609968