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853136240 = 245112361691
BaseRepresentation
bin110010110110011…
…101001101110000
32012110022210220112
4302312131031300
53221400324430
6220353400452
730066352445
oct6266351560
92173283815
10853136240
113a8633980
121b9869128
13107998958
148143b9cc
154ed71195
hex32d9d370

853136240 has 160 divisors (see below), whose sum is σ = 2298281472. Its totient is φ = 291456000.

The previous prime is 853136237. The next prime is 853136261. The reversal of 853136240 is 42631358.

It is a junction number, because it is equal to n+sod(n) for n = 853136197 and 853136206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234295 + ... + 1234985.

Almost surely, 2853136240 is an apocalyptic number.

853136240 is a gapful number since it is divisible by the number (80) 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 853136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149140736).

853136240 is an abundant number, since it is smaller than the sum of its proper divisors (1445145232).

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

853136240 is a wasteful number, since it uses less digits than its factorization.

853136240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 853136240 is about 29208.4960242735. The cubic root of 853136240 is about 948.4318505789.

Adding to 853136240 its reverse (42631358), we get a palindrome (895767598).

The spelling of 853136240 in words is "eight hundred fifty-three million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 61 80 88 92 110 115 122 176 184 220 230 244 253 305 368 440 460 488 506 610 671 691 880 920 976 1012 1220 1265 1342 1382 1403 1840 2024 2440 2530 2684 2764 2806 3355 3455 4048 4880 5060 5368 5528 5612 6710 6910 7015 7601 10120 10736 11056 11224 13420 13820 14030 15202 15433 15893 20240 22448 26840 27640 28060 30404 30866 31786 38005 42151 53680 55280 56120 60808 61732 63572 76010 77165 79465 84302 112240 121616 123464 127144 152020 154330 158930 168604 174823 210755 246928 254288 304040 308660 317860 337208 349646 421510 463661 608080 617320 635720 674416 699292 843020 874115 927322 969473 1234640 1271440 1398584 1686040 1748230 1854644 1938946 2318305 2797168 3372080 3496460 3709288 3877892 4636610 4847365 6992920 7418576 7755784 9273220 9694730 10664203 13985840 15511568 18546440 19389460 21328406 37092880 38778920 42656812 53321015 77557840 85313624 106642030 170627248 213284060 426568120 853136240