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16164080 = 245972083
BaseRepresentation
bin111101101010…
…010011110000
31010102012221122
4331222103300
513114222310
61334241412
7254251412
oct75522360
933365848
1016164080
119140349
1254b6268
13346c45a
14220a9b2
151644555
hexf6a4f0

16164080 has 40 divisors (see below), whose sum is σ = 37987152. Its totient is φ = 6395904.

The previous prime is 16164067. The next prime is 16164103. The reversal of 16164080 is 8046161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×161640802 = 522554964492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6719 + ... + 8801.

Almost surely, 216164080 is an apocalyptic number.

16164080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993576).

16164080 is an abundant number, since it is smaller than the sum of its proper divisors (21823072).

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

16164080 is a wasteful number, since it uses less digits than its factorization.

16164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 16164080 is about 4020.4576853886. The cubic root of 16164080 is about 252.8426482285.

The spelling of 16164080 in words is "sixteen million, one hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 2083 3880 4166 7760 8332 10415 16664 20830 33328 41660 83320 166640 202051 404102 808204 1010255 1616408 2020510 3232816 4041020 8082040 16164080