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87002112 = 2103127223
BaseRepresentation
bin1010010111110…
…00110000000000
320001201011110110
411023320300000
5134233031422
612344431320
72104335321
oct513706000
9201634413
1087002112
1145123a7a
1225178540
1315042552
14b7aa448
15798860c
hex52f8c00

87002112 has 88 divisors (see below), whose sum is σ = 234766336. Its totient is φ = 28643328.

The previous prime is 87002093. The next prime is 87002119. The reversal of 87002112 is 21120078.

It is not an unprimeable number, because it can be changed into a prime (87002119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390033 + ... + 390255.

Almost surely, 287002112 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 87002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117383168).

87002112 is an abundant number, since it is smaller than the sum of its proper divisors (147764224).

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

87002112 is a wasteful number, since it uses less digits than its factorization.

87002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 87002112 is about 9327.4922674854. The cubic root of 87002112 is about 443.1083477237.

The spelling of 87002112 in words is "eighty-seven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 223 254 256 381 384 446 508 512 669 762 768 892 1016 1024 1338 1524 1536 1784 2032 2676 3048 3072 3568 4064 5352 6096 7136 8128 10704 12192 14272 16256 21408 24384 28321 28544 32512 42816 48768 56642 57088 65024 84963 85632 97536 113284 114176 130048 169926 171264 195072 226568 228352 339852 342528 390144 453136 679704 685056 906272 1359408 1812544 2718816 3625088 5437632 7250176 10875264 14500352 21750528 29000704 43501056 87002112