Search a number
-
+
1986864 = 243115371
BaseRepresentation
bin111100101000100110000
310201221110120
413211010300
51002034424
6110330240
722613415
oct7450460
93657416
101986864
111137840
127b9980
13547479
1439a10c
15293a79
hex1e5130

1986864 has 80 divisors (see below), whose sum is σ = 5785344. Its totient is φ = 582400.

The previous prime is 1986839. The next prime is 1986869. The reversal of 1986864 is 4686891.

It is not an unprimeable number, because it can be changed into a prime (1986869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27949 + ... + 28019.

21986864 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 1986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672).

1986864 is an abundant number, since it is smaller than the sum of its proper divisors (3798480).

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

1986864 is a wasteful number, since it uses less digits than its factorization.

1986864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1986864 is about 1409.5616339841. The cubic root of 1986864 is about 125.7156601581.

It can be divided in two parts, 1986 and 864, that added together give a triangular number (2850 = T75).

The spelling of 1986864 in words is "one million, nine hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 71 88 106 132 142 159 176 212 213 264 284 318 424 426 528 568 583 636 781 848 852 1136 1166 1272 1562 1704 1749 2332 2343 2544 3124 3408 3498 3763 4664 4686 6248 6996 7526 9328 9372 11289 12496 13992 15052 18744 22578 27984 30104 37488 41393 45156 60208 82786 90312 124179 165572 180624 248358 331144 496716 662288 993432 1986864