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87368460 = 223519173443
BaseRepresentation
bin1010011010100…
…10001100001100
320002101202222220
411031102030030
5134331242320
612400335340
72110422354
oct515221414
9202352886
1087368460
1145354243
1225314550
131514021a
14b863b64
157a0be40
hex535230c

87368460 has 96 divisors (see below), whose sum is σ = 259580160. Its totient is φ = 21894912.

The previous prime is 87368453. The next prime is 87368473. The reversal of 87368460 is 6486378.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 196999 + ... + 197441.

It is an arithmetic number, because the mean of its divisors is an integer number (2703960).

Almost surely, 287368460 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 87368460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129790080).

87368460 is an abundant number, since it is smaller than the sum of its proper divisors (172211700).

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

87368460 is a wasteful number, since it uses less digits than its factorization.

87368460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 87368460 is about 9347.1097137029. The cubic root of 87368460 is about 443.7294228374.

The spelling of 87368460 in words is "eighty-seven million, three hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 173 190 228 285 346 380 443 519 570 692 865 886 1038 1140 1329 1730 1772 2076 2215 2595 2658 3287 3460 4430 5190 5316 6574 6645 8417 8860 9861 10380 13148 13290 16435 16834 19722 25251 26580 32870 33668 39444 42085 49305 50502 65740 76639 84170 98610 101004 126255 153278 168340 197220 229917 252510 306556 383195 459834 505020 766390 919668 1149585 1456141 1532780 2299170 2912282 4368423 4598340 5824564 7280705 8736846 14561410 17473692 21842115 29122820 43684230 87368460