Search a number
-
+
215303003040 = 25351009444547
BaseRepresentation
bin1100100010000100001…
…1110001101110100000
3202120201211120210012210
43020201003301232200
512011420032044130
6242524150322120
721361260221136
oct3104103615640
9676654523183
10215303003040
1183344a28954
1235888659340
13173c2877b68
14a5c665b756
155901b8c5b0
hex32210f1ba0

215303003040 has 96 divisors (see below), whose sum is σ = 678878141760. Its totient is φ = 57357103104.

The previous prime is 215303003029. The next prime is 215303003063. The reversal of 215303003040 is 40300303512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 215303002998 and 215303003016.

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, 262047 + ... + 706593.

It is an arithmetic number, because the mean of its divisors is an integer number (7071647310).

Almost surely, 2215303003040 is an apocalyptic number.

215303003040 is a gapful number since it is divisible by the number (20) 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 215303003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339439070880).

215303003040 is an abundant number, since it is smaller than the sum of its proper divisors (463575138720).

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

215303003040 is a wasteful number, since it uses less digits than its factorization.

215303003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445574 (or 445566 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 215303003040 its reverse (40300303512), we get a palindrome (255603306552).

It can be divided in two parts, 21530 and 3003040, that added together give a triangular number (3024570 = T2459).

The spelling of 215303003040 in words is "two hundred fifteen billion, three hundred three million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1009 2018 3027 4036 5045 6054 8072 10090 12108 15135 16144 20180 24216 30270 32288 40360 48432 60540 80720 96864 121080 161440 242160 444547 484320 889094 1333641 1778188 2222735 2667282 3556376 4445470 5334564 6668205 7112752 8890940 10669128 13336410 14225504 17781880 21338256 26672820 35563760 42676512 53345640 71127520 106691280 213382560 448547923 897095846 1345643769 1794191692 2242739615 2691287538 3588383384 4485479230 5382575076 6728218845 7176766768 8970958460 10765150152 13456437690 14353533536 17941916920 21530300304 26912875380 35883833840 43060600608 53825750760 71767667680 107651501520 215303003040