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87706720 = 2554011367
BaseRepresentation
bin1010011101001…
…00110001100000
320010000222000001
411032210301200
5134423103340
612411505344
72113331503
oct516446140
9203028001
1087706720
11455653a2
1225458254
131522b18a
14b91113a
157a7729a
hex53a4c60

87706720 has 48 divisors (see below), whose sum is σ = 207875808. Its totient is φ = 34969600.

The previous prime is 87706709. The next prime is 87706739. The reversal of 87706720 is 2760778.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87706720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63477 + ... + 64843.

It is an arithmetic number, because the mean of its divisors is an integer number (4330746).

Almost surely, 287706720 is an apocalyptic number.

87706720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87706720 is an abundant number, since it is smaller than the sum of its proper divisors (120169088).

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

87706720 is a wasteful number, since it uses less digits than its factorization.

87706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 87706720 is about 9365.1865971800. The cubic root of 87706720 is about 444.3013402239.

The spelling of 87706720 in words is "eighty-seven million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 401 802 1367 1604 2005 2734 3208 4010 5468 6416 6835 8020 10936 12832 13670 16040 21872 27340 32080 43744 54680 64160 109360 218720 548167 1096334 2192668 2740835 4385336 5481670 8770672 10963340 17541344 21926680 43853360 87706720