Search a number
-
+
88328160 = 2532561339
BaseRepresentation
bin1010100001111…
…00011111100000
320011012112110100
411100330133200
5140103000120
612433102400
72121530334
oct520743740
9204175410
1088328160
114594a288
12256b7a00
13153b7cab
14ba337c4
157b4b490
hex543c7e0

88328160 has 72 divisors (see below), whose sum is σ = 301424760. Its totient is φ = 23553792.

The previous prime is 88328153. The next prime is 88328173. The reversal of 88328160 is 6182388.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 29230 + ... + 32109.

It is an arithmetic number, because the mean of its divisors is an integer number (4186455).

Almost surely, 288328160 is an apocalyptic number.

88328160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88328160 is an abundant number, since it is smaller than the sum of its proper divisors (213096600).

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

88328160 is a wasteful number, since it uses less digits than its factorization.

88328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61360 (or 61349 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88328160 is about 9398.3062303800. The cubic root of 88328160 is about 445.3482271982.

It can be divided in two parts, 88328 and 160, that added together give a palindrome (88488).

The spelling of 88328160 in words is "eighty-eight million, three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 61339 122678 184017 245356 306695 368034 490712 552051 613390 736068 920085 981424 1104102 1226780 1472136 1840170 1962848 2208204 2453560 2760255 2944272 3680340 4416408 4907120 5520510 5888544 7360680 8832816 9814240 11041020 14721360 17665632 22082040 29442720 44164080 88328160