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16381664 = 251353743
BaseRepresentation
bin111110011111…
…011011100000
31010211021102022
4332133123200
513143203124
61343041012
7256145645
oct76373340
933737368
1016381664
119279872
1255a0168
1335174c0
142265dcc
151688c5e
hexf9f6e0

16381664 has 48 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 7408128.

The previous prime is 16381661. The next prime is 16381691. The reversal of 16381664 is 46618361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16381661) 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, 21677 + ... + 22419.

It is an arithmetic number, because the mean of its divisors is an integer number (738234).

Almost surely, 216381664 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 16381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

16381664 is an abundant number, since it is smaller than the sum of its proper divisors (19053568).

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

16381664 is a wasteful number, since it uses less digits than its factorization.

16381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 16381664 is about 4047.4268368928. The cubic root of 16381664 is about 253.9720968790.

The spelling of 16381664 in words is "sixteen million, three hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 743 848 1378 1486 1696 2756 2972 5512 5944 9659 11024 11888 19318 22048 23776 38636 39379 77272 78758 154544 157516 309088 315032 511927 630064 1023854 1260128 2047708 4095416 8190832 16381664