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87034360 = 23573137271
BaseRepresentation
bin1010011000000…
…00100111111000
320001202210200211
411030000213320
5134240044420
612345240504
72104531330
oct514004770
9201683624
1087034360
1145146226
1225193134
131505412a
14b7b80c0
157992e5a
hex53009f8

87034360 has 128 divisors (see below), whose sum is σ = 238141440. Its totient is φ = 27993600.

The previous prime is 87034351. The next prime is 87034399. The reversal of 87034360 is 6343078.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 321025 + ... + 321295.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 287034360 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 87034360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070720).

87034360 is an abundant number, since it is smaller than the sum of its proper divisors (151107080).

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

87034360 is a wasteful number, since it uses less digits than its factorization.

87034360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 87034360 is about 9329.2207605995. The cubic root of 87034360 is about 443.1630881300.

The spelling of 87034360 in words is "eighty-seven million, thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 37 40 56 62 70 74 124 140 148 155 185 217 248 259 271 280 296 310 370 434 518 542 620 740 868 1036 1084 1085 1147 1240 1295 1355 1480 1736 1897 2072 2168 2170 2294 2590 2710 3794 4340 4588 5180 5420 5735 7588 8029 8401 8680 9176 9485 10027 10360 10840 11470 15176 16058 16802 18970 20054 22940 32116 33604 37940 40108 40145 42005 45880 50135 58807 64232 67208 70189 75880 80216 80290 84010 100270 117614 140378 160580 168020 200540 235228 280756 294035 310837 321160 336040 350945 401080 470456 561512 588070 621674 701890 1176140 1243348 1403780 1554185 2175859 2352280 2486696 2807560 3108370 4351718 6216740 8703436 10879295 12433480 17406872 21758590 43517180 87034360