Search a number
-
+
15320040100 = 22521923477459
BaseRepresentation
bin11100100010010010…
…10100001010100100
31110112200100200011121
432101021110022210
5222333412240400
611012105343324
71051434122641
oct162111241244
943480320147
1015320040100
116551843972
122b76797b44
1315a1c425b1
14a54932dc8
155e9e8121a
hex3912542a4

15320040100 has 144 divisors (see below), whose sum is σ = 37297612800. Its totient is φ = 5434197120.

The previous prime is 15320040083. The next prime is 15320040103. The reversal of 15320040100 is 104002351.

It is not an unprimeable number, because it can be changed into a prime (15320040103) by changing a digit.

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, 2050171 + ... + 2057629.

It is an arithmetic number, because the mean of its divisors is an integer number (259011200).

Almost surely, 215320040100 is an apocalyptic number.

15320040100 is a gapful number since it is divisible by the number (10) 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 15320040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648806400).

15320040100 is an abundant number, since it is smaller than the sum of its proper divisors (21977572700).

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

15320040100 is a wasteful number, since it uses less digits than its factorization.

15320040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 15320040100 its reverse (104002351), we get a palindrome (15424042451).

The spelling of 15320040100 in words is "fifteen billion, three hundred twenty million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 47 50 76 92 94 95 100 115 188 190 230 235 380 437 460 470 475 575 874 893 940 950 1081 1150 1175 1748 1786 1900 2162 2185 2300 2350 3572 4324 4370 4465 4700 5405 7459 8740 8930 10810 10925 14918 17860 20539 21620 21850 22325 27025 29836 37295 41078 43700 44650 54050 74590 82156 89300 102695 108100 141721 149180 171557 186475 205390 283442 343114 350573 372950 410780 513475 566884 686228 701146 708605 745900 857785 1026950 1402292 1417210 1715570 1752865 2053900 2834420 3259583 3431140 3505730 3543025 4288925 6519166 6660887 7011460 7086050 8063179 8577850 8764325 13038332 13321774 14172100 16126358 16297915 17155700 17528650 26643548 32252716 32595830 33304435 35057300 40315895 65191660 66608870 80631790 81489575 133217740 153200401 161263580 162979150 166522175 201579475 306400802 325958300 333044350 403158950 612801604 666088700 766002005 806317900 1532004010 3064008020 3830010025 7660020050 15320040100