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820898694 = 2327111394261
BaseRepresentation
bin110000111011011…
…110101110000110
32010012122222022100
4300323132232012
53140122224234
6213242412530
726225344440
oct6073365606
92105588270
10820898694
11391415380
121aab01146
131010bc395
147b049490
154c104399
hex30edeb86

820898694 has 96 divisors (see below), whose sum is σ = 2233969920. Its totient is φ = 211636800.

The previous prime is 820898653. The next prime is 820898699. The reversal of 820898694 is 496898028.

It is a self number, because there is not a number n which added to its sum of digits gives 820898694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820898699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190524 + ... + 194784.

It is an arithmetic number, because the mean of its divisors is an integer number (23270520).

Almost surely, 2820898694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820898694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116984960).

820898694 is an abundant number, since it is smaller than the sum of its proper divisors (1413071226).

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

820898694 is a wasteful number, since it uses less digits than its factorization.

820898694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 820898694 is about 28651.3297073626. The cubic root of 820898694 is about 936.3319759856.

The spelling of 820898694 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 139 154 198 231 278 417 462 693 834 973 1251 1386 1529 1946 2502 2919 3058 4261 4587 5838 8522 8757 9174 10703 12783 13761 17514 21406 25566 27522 29827 32109 38349 46871 59654 64218 76698 89481 93742 96327 140613 178962 192654 268443 281226 328097 421839 536886 592279 656194 843678 984291 1184558 1776837 1968582 2952873 3553674 4145953 5330511 5905746 6515069 8291906 10661022 12437859 13030138 19545207 24875718 37313577 39090414 45605483 58635621 74627154 91210966 117271242 136816449 273632898 410449347 820898694