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9987705 = 345713271
BaseRepresentation
bin100110000110…
…011001111001
3200210102120000
4212012121321
510024101310
6554023213
7150615450
oct46063171
920712500
109987705
115701a02
123417b09
1320b90b0
14147db97
15d244c0
hex986679

9987705 has 80 divisors (see below), whose sum is σ = 22116864. Its totient is φ = 4199040.

The previous prime is 9987671. The next prime is 9987709. The reversal of 9987705 is 5077899.

9987705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9987705 - 27 = 9987577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9987709) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36720 + ... + 36990.

Almost surely, 29987705 is an apocalyptic number.

It is an amenable number.

9987705 is an abundant number, since it is smaller than the sum of its proper divisors (12129159).

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

9987705 is a wasteful number, since it uses less digits than its factorization.

9987705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 9987705 is about 3160.3330520690. Note that the first 3 decimals coincide. The cubic root of 9987705 is about 215.3551368768.

The spelling of 9987705 in words is "nine million, nine hundred eighty-seven thousand, seven hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 271 273 315 351 405 455 567 585 813 819 945 1053 1355 1365 1755 1897 2439 2457 2835 3523 4065 4095 5265 5691 7317 7371 9485 10569 12195 12285 17073 17615 21951 24661 28455 31707 36585 36855 51219 52845 73983 85365 95121 109755 123305 153657 158535 221949 256095 285363 369915 475605 665847 768285 1109745 1426815 1997541 3329235 9987705