Search a number
-
+
253073565240 = 23352264393139
BaseRepresentation
bin1110101110110001011…
…1000010011000111000
3220012020010120010222220
43223230113002120320
513121243313041430
6312132124444040
724166253545236
oct3535427023070
9805203503886
10253073565240
1198367480311
12410699a9620
131ab31a8c952
14c36aac7956
1568b2a90110
hex3aec5c2638

253073565240 has 64 divisors (see below), whose sum is σ = 759262377600. Its totient is φ = 67482579072.

The previous prime is 253073565223. The next prime is 253073565257. The reversal of 253073565240 is 42565370352.

253073565240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253073565223) and next prime (253073565257).

It is a junction number, because it is equal to n+sod(n) for n = 253073565192 and 253073565201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670591 + ... + 2763729.

It is an arithmetic number, because the mean of its divisors is an integer number (11863474650).

Almost surely, 2253073565240 is an apocalyptic number.

253073565240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253073565240 is an abundant number, since it is smaller than the sum of its proper divisors (506188812360).

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

253073565240 is a wasteful number, since it uses less digits than its factorization.

253073565240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115796 (or 115792 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 253073565240 in words is "two hundred fifty-three billion, seventy-three million, five hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 22643 45286 67929 90572 93139 113215 135858 181144 186278 226430 271716 279417 339645 372556 452860 465695 543432 558834 679290 745112 905720 931390 1117668 1358580 1397085 1862780 2235336 2717160 2794170 3725560 5588340 11176680 2108946377 4217892754 6326839131 8435785508 10544731885 12653678262 16871571016 21089463770 25307356524 31634195655 42178927540 50614713048 63268391310 84357855080 126536782620 253073565240