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6335130420 = 2233534733809
BaseRepresentation
bin1011110011001101…
…00110101100110100
3121100111122222012000
411321212212230310
5100433243133140
62524343455300
7312663501663
oct57146465464
917314588160
106335130420
11276101a283
121289757530
1379c646aa8
14441528dda
15271285a30
hex1799a6b34

6335130420 has 96 divisors (see below), whose sum is σ = 19766678400. Its totient is φ = 1684449792.

The previous prime is 6335130401. The next prime is 6335130437. The reversal of 6335130420 is 240315336.

It is a happy number.

6335130420 is a `hidden beast` number, since 6 + 3 + 351 + 304 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 170476 + ... + 204284.

It is an arithmetic number, because the mean of its divisors is an integer number (205902900).

Almost surely, 26335130420 is an apocalyptic number.

6335130420 is a gapful number since it is divisible by the number (60) 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 6335130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883339200).

6335130420 is an abundant number, since it is smaller than the sum of its proper divisors (13431547980).

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

6335130420 is a wasteful number, since it uses less digits than its factorization.

6335130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34174 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6335130420 is about 79593.5325262047. The cubic root of 6335130420 is about 1850.3413463150.

Adding to 6335130420 its reverse (240315336), we get a palindrome (6575445756).

The spelling of 6335130420 in words is "six billion, three hundred thirty-five million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 347 540 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 9369 10410 12492 15615 18738 20820 31230 33809 37476 46845 62460 67618 93690 101427 135236 169045 187380 202854 304281 338090 405708 507135 608562 676180 912843 1014270 1217124 1521405 1825686 2028540 3042810 3651372 4564215 6085620 9128430 11731723 18256860 23463446 35195169 46926892 58658615 70390338 105585507 117317230 140780676 175975845 211171014 234634460 316756521 351951690 422342028 527927535 633513042 703903380 1055855070 1267026084 1583782605 2111710140 3167565210 6335130420