Search a number
-
+
9135630420 = 2235768331847
BaseRepresentation
bin10001000001000011…
…01010100001010100
3212120200022002222020
420200201222201110
5122202210133140
64110304133140
7442250402010
oct104041524124
925520262866
109135630420
113968909394
12192b6071b0
13b278ba797
1462943d540
1538706d6d0
hex22086a854

9135630420 has 96 divisors (see below), whose sum is σ = 29277739008. Its totient is φ = 2085021312.

The previous prime is 9135630397. The next prime is 9135630433. The reversal of 9135630420 is 240365319.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270937 + ... + 302783.

It is an arithmetic number, because the mean of its divisors is an integer number (304976448).

Almost surely, 29135630420 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 9135630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638869504).

9135630420 is an abundant number, since it is smaller than the sum of its proper divisors (20142108588).

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

9135630420 is a wasteful number, since it uses less digits than its factorization.

9135630420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32549 (or 32547 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 9135630420 is about 95580.4918380315. The cubic root of 9135630420 is about 2090.4807559905.

Adding to 9135630420 its reverse (240365319), we get a palindrome (9375995739).

The spelling of 9135630420 in words is "nine billion, one hundred thirty-five million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 683 1366 2049 2732 3415 4098 4781 6830 8196 9562 10245 13660 14343 19124 20490 23905 28686 31847 40980 47810 57372 63694 71715 95541 95620 127388 143430 159235 191082 222929 286860 318470 382164 445858 477705 636940 668787 891716 955410 1114645 1337574 1910820 2229290 2675148 3343935 4458580 6687870 13375740 21751501 43503002 65254503 87006004 108757505 130509006 152260507 217515010 261018012 304521014 326272515 435030020 456781521 609042028 652545030 761302535 913563042 1305090060 1522605070 1827126084 2283907605 3045210140 4567815210 9135630420