Search a number
-
+
987990144 = 2734635557
BaseRepresentation
bin111010111000111…
…000100010000000
32112212002002200120
4322320320202000
54010411141034
6242012020240
733324530511
oct7270704200
92485062616
10987990144
11467770689
12236a61680
131298c386b
1495302a08
155bb0cc49
hex3ae38880

987990144 has 64 divisors (see below), whose sum is σ = 2630490240. Its totient is φ = 328559616.

The previous prime is 987990109. The next prime is 987990151. The reversal of 987990144 is 441099789.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9879901442 = 1952249049282281472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175014 + ... + 180570.

It is an arithmetic number, because the mean of its divisors is an integer number (41101410).

Almost surely, 2987990144 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 987990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315245120).

987990144 is an abundant number, since it is smaller than the sum of its proper divisors (1642500096).

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

987990144 is a wasteful number, since it uses less digits than its factorization.

987990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 987990144 is about 31432.3105100468. The cubic root of 987990144 is about 995.9805805797.

The spelling of 987990144 in words is "nine hundred eighty-seven million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 463 926 1389 1852 2778 3704 5556 5557 7408 11112 11114 14816 16671 22224 22228 29632 33342 44448 44456 59264 66684 88896 88912 133368 177792 177824 266736 355648 533472 711296 1066944 2133888 2572891 5145782 7718673 10291564 15437346 20583128 30874692 41166256 61749384 82332512 123498768 164665024 246997536 329330048 493995072 987990144