Search a number
-
+
1800770016 = 253171318423
BaseRepresentation
bin110101101010101…
…1001000111100000
311122111110121001210
41223111121013200
512141444120031
6454404430120
762424202233
oct15325310740
94574417053
101800770016
11844540191
124230a8340
132290cc6b6
1413123741a
15a815b746
hex6b5591e0

1800770016 has 96 divisors (see below), whose sum is σ = 5043886848. Its totient is φ = 560568320.

The previous prime is 1800769991. The next prime is 1800770021. The reversal of 1800770016 is 6100770081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209581 + ... + 218003.

It is an arithmetic number, because the mean of its divisors is an integer number (52540488).

Almost surely, 21800770016 is an apocalyptic number.

1800770016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521943424).

1800770016 is an abundant number, since it is smaller than the sum of its proper divisors (3243116832).

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

1800770016 is a wasteful number, since it uses less digits than its factorization.

1800770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 1800770016 is about 42435.4806264758. The cubic root of 1800770016 is about 1216.6138333806.

The spelling of 1800770016 in words is "one billion, eight hundred million, seven hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 131 136 204 262 272 393 408 524 544 786 816 1048 1572 1632 2096 2227 3144 4192 4454 6288 6681 8423 8908 12576 13362 16846 17816 25269 26724 33692 35632 50538 53448 67384 71264 101076 106896 134768 143191 202152 213792 269536 286382 404304 429573 572764 808608 859146 1103413 1145528 1718292 2206826 2291056 3310239 3436584 4413652 4582112 6620478 6873168 8827304 13240956 13746336 17654608 18758021 26481912 35309216 37516042 52963824 56274063 75032084 105927648 112548126 150064168 225096252 300128336 450192504 600256672 900385008 1800770016