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2130276600 = 2332523138177
BaseRepresentation
bin111111011111001…
…0111000011111000
312111110111021010100
41332332113003320
513330322322400
6551215115400
7103535023644
oct17676270370
95443437110
102130276600
119a3538381
124b5512b60
1327c45b9ca
14162ccbc24
15c7048100
hex7ef970f8

2130276600 has 144 divisors (see below), whose sum is σ = 7385152320. Its totient is φ = 549734400.

The previous prime is 2130276581. The next prime is 2130276623. The reversal of 2130276600 is 66720312.

It is a happy number.

2130276600 is a `hidden beast` number, since 2 + 1 + 30 + 27 + 6 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36712 + ... + 74888.

It is an arithmetic number, because the mean of its divisors is an integer number (51285780).

Almost surely, 22130276600 is an apocalyptic number.

2130276600 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 2130276600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692576160).

2130276600 is an abundant number, since it is smaller than the sum of its proper divisors (5254875720).

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

2130276600 is a wasteful number, since it uses less digits than its factorization.

2130276600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38230 (or 38218 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2130276600 is about 46154.9195644408. The cubic root of 2130276600 is about 1286.7040431690.

Adding to 2130276600 its reverse (66720312), we get a palindrome (2196996912).

The spelling of 2130276600 in words is "two billion, one hundred thirty million, two hundred seventy-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 27900 38177 55800 76354 114531 152708 190885 229062 305416 343593 381770 458124 572655 687186 763540 916248 954425 1145310 1183487 1374372 1527080 1717965 1908850 2290620 2366974 2748744 2863275 3435930 3550461 3817700 4581240 4733948 5726550 5917435 6871860 7100922 7635400 8589825 9467896 10651383 11453100 11834870 13743720 14201844 17179650 17752305 21302766 22906200 23669740 28403688 29587175 34359300 35504610 42605532 47339480 53256915 59174350 68718600 71009220 85211064 88761525 106513830 118348700 142018440 177523050 213027660 236697400 266284575 355046100 426055320 532569150 710092200 1065138300 2130276600