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6132300700 = 22525910310091
BaseRepresentation
bin1011011011000001…
…10111101110011100
3120211101000011010011
411231200313232130
5100024332110300
62452300253004
7304651460461
oct55540675634
916741004104
106132300700
112667584309
121231841164
1376960b7c6
1442260b668
1525d56ceba
hex16d837b9c

6132300700 has 72 divisors (see below), whose sum is σ = 13665375360. Its totient is φ = 2387697600.

The previous prime is 6132300697. The next prime is 6132300721. The reversal of 6132300700 is 70032316.

It is a super-2 number, since 2×61323007002 = 75210223750440980000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 602655 + ... + 612745.

It is an arithmetic number, because the mean of its divisors is an integer number (189796880).

Almost surely, 26132300700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132300700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832687680).

6132300700 is an abundant number, since it is smaller than the sum of its proper divisors (7533074660).

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

6132300700 is a wasteful number, since it uses less digits than its factorization.

6132300700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 6132300700 is about 78309.0077832685. The cubic root of 6132300700 is about 1830.3795185680.

The spelling of 6132300700 in words is "six billion, one hundred thirty-two million, three hundred thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 103 118 206 236 295 412 515 590 1030 1180 1475 2060 2575 2950 5150 5900 6077 10091 10300 12154 20182 24308 30385 40364 50455 60770 100910 121540 151925 201820 252275 303850 504550 595369 607700 1009100 1039373 1190738 2078746 2381476 2976845 4157492 5196865 5953690 10393730 11907380 14884225 20787460 25984325 29768450 51968650 59536900 61323007 103937300 122646014 245292028 306615035 613230070 1226460140 1533075175 3066150350 6132300700