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987083064 = 2333112331783
BaseRepresentation
bin111010110101011…
…011000100111000
32112210101000102000
4322311123010320
54010143124224
6241540341000
733314032122
oct7265330470
92483330360
10987083064
11467201130
122366a4760
13129666a26
1495148212
155b9ce0c9
hex3ad5b138

987083064 has 128 divisors (see below), whose sum is σ = 3005683200. Its totient is φ = 297665280.

The previous prime is 987083057. The next prime is 987083081. The reversal of 987083064 is 460380789.

It is a happy number.

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, 552717 + ... + 554499.

It is an arithmetic number, because the mean of its divisors is an integer number (23481900).

Almost surely, 2987083064 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 987083064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502841600).

987083064 is an abundant number, since it is smaller than the sum of its proper divisors (2018600136).

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

987083064 is a wasteful number, since it uses less digits than its factorization.

987083064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 987083064 is about 31417.8780951228. The cubic root of 987083064 is about 995.6756818941.

The spelling of 987083064 in words is "nine hundred eighty-seven million, eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 233 264 297 396 466 594 699 792 932 1188 1398 1783 1864 2097 2376 2563 2796 3566 4194 5126 5349 5592 6291 7132 7689 8388 10252 10698 12582 14264 15378 16047 16776 19613 20504 21396 23067 25164 30756 32094 39226 42792 46134 48141 50328 58839 61512 64188 69201 78452 92268 96282 117678 128376 138402 156904 176517 184536 192564 235356 276804 353034 385128 415439 470712 529551 553608 706068 830878 1059102 1246317 1412136 1661756 2118204 2492634 3323512 3738951 4236408 4569829 4985268 7477902 9139658 9970536 11216853 13709487 14955804 18279316 22433706 27418974 29911608 36558632 41128461 44867412 54837948 82256922 89734824 109675896 123385383 164513844 246770766 329027688 493541532 987083064