Search a number
-
+
32890080 = 253568521
BaseRepresentation
bin111110101110…
…1110011100000
32021212222201010
41331131303200
531404440310
63132540520
7546363306
oct175356340
967788633
1032890080
1117624893
12b021740
136a775b2
144522276
152d4a320
hex1f5dce0

32890080 has 48 divisors (see below), whose sum is σ = 103605264. Its totient is φ = 8770560.

The previous prime is 32890073. The next prime is 32890097. The reversal of 32890080 is 8009823.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33781 + ... + 34740.

It is an arithmetic number, because the mean of its divisors is an integer number (2158443).

Almost surely, 232890080 is an apocalyptic number.

32890080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32890080 is an abundant number, since it is smaller than the sum of its proper divisors (70715184).

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

32890080 is a wasteful number, since it uses less digits than its factorization.

32890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68539 (or 68531 counting only the distinct ones).

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

The square root of 32890080 is about 5734.9873583121. The cubic root of 32890080 is about 320.3969033415.

The spelling of 32890080 in words is "thirty-two million, eight hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 68521 137042 205563 274084 342605 411126 548168 685210 822252 1027815 1096336 1370420 1644504 2055630 2192672 2740840 3289008 4111260 5481680 6578016 8222520 10963360 16445040 32890080