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87500000 = 25587
BaseRepresentation
bin1010011011100…
…10010011100000
320002122110102202
411031302103200
5134400000000
612403232332
72111511020
oct515622340
9202573382
1087500000
1145434055
12253786a8
1315188063
14b899a80
157a35dd5
hex53724e0

87500000 has 108 divisors (see below), whose sum is σ = 246093624. Its totient is φ = 30000000.

The previous prime is 87499967. The next prime is 87500029. The reversal of 87500000 is 578.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12499997 + ... + 12500003.

Almost surely, 287500000 is an apocalyptic number.

87500000 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 87500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046812).

87500000 is an abundant number, since it is smaller than the sum of its proper divisors (158593624).

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

87500000 is an frugal number, since it uses more digits than its factorization.

87500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 87500000 is about 9354.1434669349. The cubic root of 87500000 is about 443.9520008713.

Adding to 87500000 its reverse (578), we get a palindrome (87500578).

The spelling of 87500000 in words is "eighty-seven million, five hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 15625 17500 20000 21875 25000 28000 31250 35000 43750 50000 62500 70000 78125 87500 100000 109375 125000 140000 156250 175000 218750 250000 312500 350000 390625 437500 500000 546875 625000 700000 781250 875000 1093750 1250000 1562500 1750000 2187500 2500000 2734375 3125000 3500000 4375000 5468750 6250000 8750000 10937500 12500000 17500000 21875000 43750000 87500000