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830817636 = 22311192911423
BaseRepresentation
bin110001100001010…
…100010101100100
32010220022220112120
4301201110111210
53200142131021
6214235145540
726405555565
oct6141242544
92126286476
10830817636
11396a7a650
121b22a52b0
1310318308c
147c4ac16c
154ce132c6
hex31854564

830817636 has 96 divisors (see below), whose sum is σ = 2303078400. Its totient is φ = 230267520.

The previous prime is 830817629. The next prime is 830817643. The reversal of 830817636 is 636718038.

It is an interprime number because it is at equal distance from previous prime (830817629) and next prime (830817643).

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, 67021 + ... + 78443.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 2830817636 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 830817636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151539200).

830817636 is an abundant number, since it is smaller than the sum of its proper divisors (1472260764).

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

830817636 is a wasteful number, since it uses less digits than its factorization.

830817636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 830817636 is about 28823.9073687104. The cubic root of 830817636 is about 940.0881296578.

The spelling of 830817636 in words is "eight hundred thirty million, eight hundred seventeen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 132 174 209 228 319 348 418 551 627 638 836 957 1102 1254 1276 1653 1914 2204 2508 3306 3828 6061 6612 11423 12122 18183 22846 24244 34269 36366 45692 68538 72732 125653 137076 217037 251306 331267 376959 434074 502612 651111 662534 753918 868148 993801 1302222 1325068 1507836 1987602 2387407 2604444 3643937 3975204 4774814 6294073 7162221 7287874 9549628 10931811 12588146 14324442 14575748 18882219 21863622 25176292 28648884 37764438 43727244 69234803 75528876 138469606 207704409 276939212 415408818 830817636