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781113540 = 223561457467
BaseRepresentation
bin101110100011101…
…101100011000100
32000102210200100010
4232203231203010
53044431113130
6205301550220
725233232644
oct5643554304
92012720303
10781113540
11370a11189
12199715370
13c5a9c57c
1475a50524
15488960b0
hex2e8ed8c4

781113540 has 96 divisors (see below), whose sum is σ = 2232607104. Its totient is φ = 203996160.

The previous prime is 781113499. The next prime is 781113547. The reversal of 781113540 is 45311187.

781113540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7811135402 = 1220276724742663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 781113498 and 781113507.

It is not an unprimeable number, because it can be changed into a prime (781113547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672387 + ... + 1672853.

It is an arithmetic number, because the mean of its divisors is an integer number (23256324).

Almost surely, 2781113540 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 781113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116303552).

781113540 is an abundant number, since it is smaller than the sum of its proper divisors (1451493564).

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

781113540 is a wasteful number, since it uses less digits than its factorization.

781113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 781113540 is about 27948.4085414537. The cubic root of 781113540 is about 920.9542477576.

The spelling of 781113540 in words is "seven hundred eighty-one million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 457 467 610 732 914 915 934 1220 1371 1401 1828 1830 1868 2285 2335 2742 2802 3660 4570 4670 5484 5604 6855 7005 9140 9340 13710 14010 27420 27877 28020 28487 55754 56974 83631 85461 111508 113948 139385 142435 167262 170922 213419 278770 284870 334524 341844 418155 426838 427305 557540 569740 640257 836310 853676 854610 1067095 1280514 1672620 1709220 2134190 2561028 3201285 4268380 6402570 12805140 13018559 26037118 39055677 52074236 65092795 78111354 130185590 156222708 195278385 260371180 390556770 781113540