Search a number
-
+
6130088832 = 273712717957
BaseRepresentation
bin1011011010110000…
…11011101110000000
3120211012211210000010
411231120123232000
5100023300320312
62452141024520
7304623616050
oct55530335600
916735753003
106130088832
11266630351a
121230b55140
13769015aca
144221d3560
1525d28293c
hex16d61bb80

6130088832 has 128 divisors (see below), whose sum is σ = 18756771840. Its totient is φ = 1737566208.

The previous prime is 6130088827. The next prime is 6130088857. The reversal of 6130088832 is 2388800316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×61300888322 = 75155978176422248448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332398 + ... + 350354.

It is an arithmetic number, because the mean of its divisors is an integer number (146537280).

Almost surely, 26130088832 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 6130088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9378385920).

6130088832 is an abundant number, since it is smaller than the sum of its proper divisors (12626683008).

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

6130088832 is a wasteful number, since it uses less digits than its factorization.

6130088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18108 (or 18096 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6130088832 is about 78294.8838175267. The cubic root of 6130088832 is about 1830.1594247326.

The spelling of 6130088832 in words is "six billion, one hundred thirty million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 336 381 384 448 508 672 762 889 896 1016 1344 1524 1778 2032 2667 2688 3048 3556 4064 5334 6096 7112 8128 10668 12192 14224 16256 17957 21336 24384 28448 35914 42672 48768 53871 56896 71828 85344 107742 113792 125699 143656 170688 215484 251398 287312 341376 377097 430968 502796 574624 754194 861936 1005592 1149248 1508388 1723872 2011184 2280539 2298496 3016776 3447744 4022368 4561078 6033552 6841617 6895488 8044736 9122156 12067104 13683234 15963773 16089472 18244312 24134208 27366468 31927546 36488624 47891319 48268416 54732936 63855092 72977248 95782638 109465872 127710184 145954496 191565276 218931744 255420368 291908992 383130552 437863488 510840736 766261104 875726976 1021681472 1532522208 2043362944 3065044416 6130088832