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830113080 = 233545715137
BaseRepresentation
bin110001011110101…
…000010100111000
32010212000010001220
4301132220110320
53200002104310
6214212112040
726366562516
oct6136502470
92125003056
10830113080
11396639275
121b2005620
13102c97494
147c3674b6
154cd24670
hex317a8538

830113080 has 64 divisors (see below), whose sum is σ = 2495953440. Its totient is φ = 220864512.

The previous prime is 830113073. The next prime is 830113087. The reversal of 830113080 is 80311038.

It is an interprime number because it is at equal distance from previous prime (830113073) and next prime (830113087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 830113080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830113087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47272 + ... + 62408.

Almost surely, 2830113080 is an apocalyptic number.

It is an amenable number.

830113080 is an abundant number, since it is smaller than the sum of its proper divisors (1665840360).

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

830113080 is a wasteful number, since it uses less digits than its factorization.

830113080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 830113080 is about 28811.6830469863. The cubic root of 830113080 is about 939.8223143851.

The spelling of 830113080 in words is "eight hundred thirty million, one hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1371 1828 2285 2742 3656 4570 5484 6855 9140 10968 13710 15137 18280 27420 30274 45411 54840 60548 75685 90822 121096 151370 181644 227055 302740 363288 454110 605480 908220 1816440 6917609 13835218 20752827 27670436 34588045 41505654 55340872 69176090 83011308 103764135 138352180 166022616 207528270 276704360 415056540 830113080