Search a number
-
+
3065106000 = 243531146441
BaseRepresentation
bin1011011010110001…
…1100111001010000
321220121112111222110
42312230130321100
522234131343000
61224051505320
7135645654045
oct26654347120
97817474873
103065106000
111333199560
127165b8240
1339b02b5b8
142111131cc
1512e154850
hexb6b1ce50

3065106000 has 160 divisors (see below), whose sum is σ = 10780488576. Its totient is φ = 743040000.

The previous prime is 3065105999. The next prime is 3065106043. The reversal of 3065106000 is 6015603.

3065106000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42780 + ... + 89220.

Almost surely, 23065106000 is an apocalyptic number.

3065106000 is a gapful number since it is divisible by the number (30) 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 3065106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390244288).

3065106000 is an abundant number, since it is smaller than the sum of its proper divisors (7715382576).

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

3065106000 is a wasteful number, since it uses less digits than its factorization.

3065106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46478 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3065106000 is about 55363.3994620995. The cubic root of 3065106000 is about 1452.6082266943.

The spelling of 3065106000 in words is "three billion, sixty-five million, one hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 46441 66000 92882 139323 185764 232205 278646 371528 464410 510851 557292 696615 743056 928820 1021702 1114584 1161025 1393230 1532553 1857640 2043404 2229168 2322050 2554255 2786460 3065106 3483075 3715280 4086808 4644100 5108510 5572920 5805125 6130212 6966150 7662765 8173616 9288200 10217020 11145840 11610250 12260424 12771275 13932300 15325530 17415375 18576400 20434040 23220500 24520848 25542550 27864600 30651060 34830750 38313825 40868080 46441000 51085100 55729200 61302120 63856375 69661500 76627650 92882000 102170200 122604240 127712750 139323000 153255300 191569125 204340400 255425500 278646000 306510600 383138250 510851000 613021200 766276500 1021702000 1532553000 3065106000