Search a number
-
+
2089674660 = 2235233148847
BaseRepresentation
bin111110010001101…
…1110011110100100
312101122002110201210
41330203132132210
513234424042120
6543204551420
7102532640643
oct17443363644
95348073653
102089674660
11982626557
124a39b2570
13273c141a8
1415b75d35a
15c36c7ce0
hex7c8de7a4

2089674660 has 96 divisors (see below), whose sum is σ = 6302564352. Its totient is φ = 515813760.

The previous prime is 2089674659. The next prime is 2089674673. The reversal of 2089674660 is 664769802.

It is a super-2 number, since 2×20896746602 = 8733480369292231200, which contains 22 as substring.

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, 18357 + ... + 67203.

It is an arithmetic number, because the mean of its divisors is an integer number (65651712).

Almost surely, 22089674660 is an apocalyptic number.

2089674660 is a gapful number since it is divisible by the number (20) 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 2089674660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151282176).

2089674660 is an abundant number, since it is smaller than the sum of its proper divisors (4212889692).

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

2089674660 is a wasteful number, since it uses less digits than its factorization.

2089674660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48913 (or 48911 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2089674660 is about 45712.9594316535. The cubic root of 2089674660 is about 1278.4769196782.

The spelling of 2089674660 in words is "two billion, eighty-nine million, six hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 48847 97694 146541 195388 244235 293082 488470 586164 732705 976940 1123481 1465410 1514257 2246962 2930820 3028514 3370443 4493924 4542771 5617405 6057028 6740886 7571285 9085542 11234810 13481772 15142570 16852215 18171084 22469620 22713855 30285140 33704430 34827911 45427710 67408860 69655822 90855420 104483733 139311644 174139555 208967466 348279110 417934932 522418665 696558220 1044837330 2089674660