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987086144 = 26117319207
BaseRepresentation
bin111010110101011…
…011110101000000
32112210101011122002
4322311123311000
54010143224034
6241540403132
733314044112
oct7265336500
92483334562
10987086144
11467203480
122366a64a8
13129668255
14951493b2
155b9cee7e
hex3ad5bd40

987086144 has 56 divisors (see below), whose sum is σ = 2166201408. Its totient is φ = 442506240.

The previous prime is 987086141. The next prime is 987086153. The reversal of 987086144 is 441680789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987086141) 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, 41789 + ... + 60995.

It is an arithmetic number, because the mean of its divisors is an integer number (38682168).

Almost surely, 2987086144 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 987086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083100704).

987086144 is an abundant number, since it is smaller than the sum of its proper divisors (1179115264).

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

987086144 is a wasteful number, since it uses less digits than its factorization.

987086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19293 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 987086144 is about 31417.9271117622. The cubic root of 987086144 is about 995.6767174969.

The spelling of 987086144 in words is "nine hundred eighty-seven million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 292 352 584 704 803 1168 1606 2336 3212 4672 6424 12848 19207 25696 38414 51392 76828 153656 211277 307312 422554 614624 845108 1229248 1402111 1690216 2804222 3380432 5608444 6760864 11216888 13521728 15423221 22433776 30846442 44867552 61692884 89735104 123385768 246771536 493543072 987086144