Search a number
-
+
2131680600 = 2332527169181
BaseRepresentation
bin111111100001110…
…1101110101011000
312111120010121001100
41333003231311120
513331202234400
6551305151400
7103552662150
oct17703556530
95446117040
102131680600
119a4307205
124b5a8b560
1327c830a8a
14163175760
15c7224100
hex7f0edd58

2131680600 has 144 divisors (see below), whose sum is σ = 8181641520. Its totient is φ = 487238400.

The previous prime is 2131680599. The next prime is 2131680653. The reversal of 2131680600 is 60861312.

2131680600 is a `hidden beast` number, since 21 + 31 + 6 + 8 + 0 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71991 + ... + 97190.

It is an arithmetic number, because the mean of its divisors is an integer number (56816955).

Almost surely, 22131680600 is an apocalyptic number.

2131680600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131680600 is an abundant number, since it is smaller than the sum of its proper divisors (6049960920).

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

2131680600 is a wasteful number, since it uses less digits than its factorization.

2131680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169210 (or 169198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2131680600 is about 46170.1267054792. The cubic root of 2131680600 is about 1286.9866568203.

The spelling of 2131680600 in words is "two billion, one hundred thirty-one million, six hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 169181 338362 507543 676724 845905 1015086 1184267 1353448 1522629 1691810 2030172 2368534 2537715 3045258 3383620 3552801 4060344 4229525 4737068 5075430 5921335 6090516 6767240 7105602 7613145 8459050 9474136 10150860 10658403 11842670 12181032 12688575 14211204 15226290 16918100 17764005 20301720 21316806 23685340 25377150 28422408 29606675 30452580 33836200 35528010 38065725 42633612 47370680 50754300 53292015 59213350 60905160 71056020 76131450 85267224 88820025 101508600 106584030 118426700 142112040 152262900 177640050 213168060 236853400 266460075 304525800 355280100 426336120 532920150 710560200 1065840300 2131680600