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87000060 = 22357359577
BaseRepresentation
bin1010010111110…
…00001111111100
320001201001122110
411023320033330
5134233000220
612344414020
72104326330
oct513701774
9201631573
1087000060
1145122484
1225177310
1315041634
14b7a97c0
157987be0
hex52f83fc

87000060 has 96 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 19795968.

The previous prime is 87000047. The next prime is 87000079. The reversal of 87000060 is 6000078.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150492 + ... + 151068.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 287000060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

87000060 is an abundant number, since it is smaller than the sum of its proper divisors (192659460).

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

87000060 is a wasteful number, since it uses less digits than its factorization.

87000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 87000060 is about 9327.3822694259. The cubic root of 87000060 is about 443.1048640325.

The spelling of 87000060 in words is "eighty-seven million, sixty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 359 420 577 718 1077 1154 1436 1731 1795 2154 2308 2513 2885 3462 3590 4039 4308 5026 5385 5770 6924 7180 7539 8078 8655 10052 10770 11540 12117 12565 15078 16156 17310 20195 21540 24234 25130 30156 34620 37695 40390 48468 50260 60585 75390 80780 121170 150780 207143 242340 414286 621429 828572 1035715 1242858 1450001 2071430 2485716 2900002 3107145 4142860 4350003 5800004 6214290 7250005 8700006 12428580 14500010 17400012 21750015 29000020 43500030 87000060