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87393460 = 2257211367
BaseRepresentation
bin1010011010110…
…00010010110100
320002110001021211
411031120102310
5134333042320
612401051204
72110555300
oct515302264
9202401254
1087393460
1145371000
1225326b04
131514b70b
14b86cd00
157a1455a
hex53584b4

87393460 has 144 divisors (see below), whose sum is σ = 238327488. Its totient is φ = 26832960.

The previous prime is 87393389. The next prime is 87393463. The reversal of 87393460 is 6439378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87393463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304347 + ... + 1304413.

It is an arithmetic number, because the mean of its divisors is an integer number (1655052).

Almost surely, 287393460 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 87393460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119163744).

87393460 is an abundant number, since it is smaller than the sum of its proper divisors (150934028).

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

87393460 is a wasteful number, since it uses less digits than its factorization.

87393460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 87393460 is about 9348.4469298381. The cubic root of 87393460 is about 443.7717423718.

The spelling of 87393460 in words is "eighty-seven million, three hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 67 70 77 98 110 121 134 140 154 196 220 242 245 268 308 335 385 469 484 490 539 605 670 737 770 847 938 980 1078 1210 1331 1340 1474 1540 1694 1876 2156 2345 2420 2662 2695 2948 3283 3388 3685 4235 4690 5159 5324 5390 5929 6566 6655 7370 8107 8470 9317 9380 10318 10780 11858 13132 13310 14740 16214 16415 16940 18634 20636 23716 25795 26620 29645 32428 32830 36113 37268 40535 46585 51590 56749 59290 65219 65660 72226 81070 89177 93170 103180 113498 118580 130438 144452 162140 178354 180565 186340 226996 260876 283745 326095 356708 361130 397243 445885 567490 624239 652190 722260 794486 891770 1134980 1248478 1304380 1588972 1783540 1986215 2496956 3121195 3972430 4369673 6242390 7944860 8739346 12484780 17478692 21848365 43696730 87393460