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5130732132 = 223537179797
BaseRepresentation
bin1001100011101000…
…01100001001100100
3111020120101012100000
410301310030021210
541001431412012
62205041221300
7241100334501
oct46164141144
914216335300
105130732132
1121a3189a99
12bb2331830
13639c72696
143695b24a8
1520067bddc
hex131d0c264

5130732132 has 144 divisors (see below), whose sum is σ = 13907799360. Its totient is φ = 1652648832.

The previous prime is 5130732119. The next prime is 5130732193. The reversal of 5130732132 is 2312370315.

5130732132 is a `hidden beast` number, since 5 + 1 + 307 + 321 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5130732096 and 5130732105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6437158 + ... + 6437954.

It is an arithmetic number, because the mean of its divisors is an integer number (96581940).

Almost surely, 25130732132 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 5130732132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953899680).

5130732132 is an abundant number, since it is smaller than the sum of its proper divisors (8777067228).

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

5130732132 is a wasteful number, since it uses less digits than its factorization.

5130732132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5130732132 is about 71629.1290746998. The cubic root of 5130732132 is about 1724.7511656192.

The spelling of 5130732132 in words is "five billion, one hundred thirty million, seven hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 179 222 243 324 333 358 444 486 537 666 716 797 972 999 1074 1332 1594 1611 1998 2148 2391 2997 3188 3222 3996 4782 4833 5994 6444 6623 7173 8991 9564 9666 11988 13246 14346 14499 17982 19332 19869 21519 26492 28692 28998 29489 35964 39738 43038 43497 57996 58978 59607 64557 79476 86076 86994 88467 117956 119214 129114 142663 173988 176934 178821 193671 238428 258228 265401 285326 353868 357642 387342 427989 530802 536463 570652 715284 774684 796203 855978 1061604 1072926 1283967 1592406 1609389 1711956 2145852 2388609 2567934 3184812 3218778 3851901 4777218 5135868 5278531 6437556 7165827 7703802 9554436 10557062 11555703 14331654 15407604 15835593 21114124 23111406 28663308 31671186 34667109 46222812 47506779 63342372 69334218 95013558 138668436 142520337 190027116 285040674 427561011 570081348 855122022 1282683033 1710244044 2565366066 5130732132