Search a number
-
+
20930001150 = 23522334917383
BaseRepresentation
bin10011011111100001…
…100111100011111110
32000000122111012222210
4103133201213203332
5320331040014100
613340510321250
71340444034342
oct233741474376
960018435883
1020930001150
118970492713
1240814b9226
131c87276986
141027a11622
15827721c50
hex4df8678fe

20930001150 has 96 divisors (see below), whose sum is σ = 54321523200. Its totient is φ = 5323063680.

The previous prime is 20930001149. The next prime is 20930001161. The reversal of 20930001150 is 5110003902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195359 + ... + 1212741.

It is an arithmetic number, because the mean of its divisors is an integer number (565849200).

Almost surely, 220930001150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20930001150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27160761600).

20930001150 is an abundant number, since it is smaller than the sum of its proper divisors (33391522050).

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

20930001150 is a wasteful number, since it uses less digits than its factorization.

20930001150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17770 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The spelling of 20930001150 in words is "twenty billion, nine hundred thirty million, one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 349 575 690 698 1047 1150 1725 1745 2094 3450 3490 5235 8027 8725 10470 16054 17383 17450 24081 26175 34766 40135 48162 52149 52350 80270 86915 104298 120405 173830 200675 240810 260745 399809 401350 434575 521490 602025 799618 869150 1199427 1204050 1303725 1999045 2398854 2607450 3998090 5997135 6066667 9995225 11994270 12133334 18200001 19990450 29985675 30333335 36400002 59971350 60666670 91000005 139533341 151666675 182000010 279066682 303333350 418600023 455000025 697666705 837200046 910000050 1395333410 2093000115 3488333525 4186000230 6976667050 10465000575 20930001150