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88080840 = 23325244669
BaseRepresentation
bin1010100000000…
…00000111001000
320010201222012100
411100000013020
5140022041330
612423513400
72116450311
oct520000710
9203658170
1088080840
11457a0491
12255b8860
131532c553
14b9ab608
157aed060
hex54001c8

88080840 has 48 divisors (see below), whose sum is σ = 286263900. Its totient is φ = 23488128.

The previous prime is 88080793. The next prime is 88080847. The reversal of 88080840 is 4808088.

It can be written as a sum of positive squares in 2 ways, for example, as 87946884 + 133956 = 9378^2 + 366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 88080795 and 88080804.

It is not an unprimeable number, because it can be changed into a prime (88080847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121975 + ... + 122694.

Almost surely, 288080840 is an apocalyptic number.

It is an amenable number.

88080840 is an abundant number, since it is smaller than the sum of its proper divisors (198183060).

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

88080840 is a wasteful number, since it uses less digits than its factorization.

88080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244686 (or 244679 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88080840 is about 9385.1393170267. The cubic root of 88080840 is about 444.9321783607.

The spelling of 88080840 in words is "eighty-eight million, eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 244669 489338 734007 978676 1223345 1468014 1957352 2202021 2446690 2936028 3670035 4404042 4893380 5872056 7340070 8808084 9786760 11010105 14680140 17616168 22020210 29360280 44040420 88080840