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88080080 = 24511101991
BaseRepresentation
bin1010011111111…
…11111011010000
320010201221011012
411033333323100
5140022030310
612423510052
72116445144
oct517777320
9203657135
1088080080
114579a960
12255b8328
131532c0ba
14b9ab224
157aecc05
hex53ffed0

88080080 has 80 divisors (see below), whose sum is σ = 225842688. Its totient is φ = 31680000.

The previous prime is 88080059. The next prime is 88080089. The reversal of 88080080 is 8008088.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88080089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88385 + ... + 89375.

Almost surely, 288080080 is an apocalyptic number.

88080080 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 88080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112921344).

88080080 is an abundant number, since it is smaller than the sum of its proper divisors (137762608).

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

88080080 is a wasteful number, since it uses less digits than its factorization.

88080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88080080 is about 9385.0988273965. The cubic root of 88080080 is about 444.9308986672.

The spelling of 88080080 in words is "eighty-eight million, eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 991 1010 1111 1616 1982 2020 2222 3964 4040 4444 4955 5555 7928 8080 8888 9910 10901 11110 15856 17776 19820 21802 22220 39640 43604 44440 54505 79280 87208 88880 100091 109010 174416 200182 218020 400364 436040 500455 800728 872080 1000910 1101001 1601456 2001820 2202002 4003640 4404004 5505005 8007280 8808008 11010010 17616016 22020020 44040040 88080080