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1689564384 = 253216735129
BaseRepresentation
bin110010010110100…
…1011010011100000
311100202012202121200
41210231023103200
511430012030014
6435353121200
756604026454
oct14455132340
94322182550
101689564384
11797795802
123b19b9200
1320c064651
1412056a664
159d4e1a09
hex64b4b4e0

1689564384 has 72 divisors (see below), whose sum is σ = 4833606960. Its totient is φ = 559799808.

The previous prime is 1689564323. The next prime is 1689564391. The reversal of 1689564384 is 4834659861.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1689564384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30532 + ... + 65660.

It is an arithmetic number, because the mean of its divisors is an integer number (67133430).

Almost surely, 21689564384 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 1689564384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416803480).

1689564384 is an abundant number, since it is smaller than the sum of its proper divisors (3144042576).

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

1689564384 is a wasteful number, since it uses less digits than its factorization.

1689564384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35312 (or 35301 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1689564384 is about 41104.3110147829. The cubic root of 1689564384 is about 1191.0360734124.

The spelling of 1689564384 in words is "one billion, six hundred eighty-nine million, five hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 24048 35129 48096 70258 105387 140516 210774 281032 316161 421548 562064 632322 843096 1124128 1264644 1686192 2529288 3372384 5058576 5866543 10117152 11733086 17599629 23466172 35199258 46932344 52798887 70398516 93864688 105597774 140797032 187729376 211195548 281594064 422391096 563188128 844782192 1689564384