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88000 = 265311
BaseRepresentation
bin10101011111000000
311110201021
4111133000
510304000
61515224
7514363
oct253700
9143637
1088000
1160130
1242b14
1331093
14240da
151b11a
hex157c0

88000 has 56 divisors (see below), whose sum is σ = 237744. Its totient is φ = 32000.

The previous prime is 87991. The next prime is 88001. The reversal of 88000 is 88.

88000 = T15 + T16 + ... + T80.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 4 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88001) 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, 7995 + ... + 8005.

288000 is an apocalyptic number.

88000 is a gapful number since it is divisible by the number (80) 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 88000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

88000 is an abundant number, since it is smaller than the sum of its proper divisors (149744).

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

88000 is a wasteful number, since it uses less digits than its factorization.

88000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 88000 is about 296.6479394838. The cubic root of 88000 is about 44.4796018114.

Adding to 88000 its reverse (88), we get a palindrome (88088).

88000 divided by its reverse (88) gives a cube (1000 = 103).

It can be divided in two parts, 8 and 8000, that multiplied together give a cube (64000 = 403).

The spelling of 88000 in words is "eighty-eight thousand".