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88006640 = 2458291327
BaseRepresentation
bin1010011111011…
…01111111110000
320010121012102012
411033231333300
5140012203030
612422142052
72116021061
oct517557760
9203535365
1088006640
114574a767
1225581928
1315304847
14b98c568
157ad6095
hex53edff0

88006640 has 40 divisors (see below), whose sum is σ = 205016640. Its totient is φ = 35133696.

The previous prime is 88006631. The next prime is 88006669. The reversal of 88006640 is 4660088.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 88006597 and 88006606.

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, 65657 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (5125416).

Almost surely, 288006640 is an apocalyptic number.

88006640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88006640 is an abundant number, since it is smaller than the sum of its proper divisors (117010000).

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

88006640 is a wasteful number, since it uses less digits than its factorization.

88006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 88006640 is about 9381.1854261602. The cubic root of 88006640 is about 444.8072051263.

The spelling of 88006640 in words is "eighty-eight million, six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 829 1327 1658 2654 3316 4145 5308 6632 6635 8290 10616 13264 13270 16580 21232 26540 33160 53080 66320 106160 1100083 2200166 4400332 5500415 8800664 11000830 17601328 22001660 44003320 88006640