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20858124 = 22372191867
BaseRepresentation
bin100111110010…
…0010100001100
31110020200222010
41033210110030
520314424444
62023021220
7342201600
oct117442414
943220863
1020858124
1110857021
126b9a810
134423bb1
142aad500
151c702b9
hex13e450c

20858124 has 72 divisors (see below), whose sum is σ = 59626560. Its totient is φ = 5642784.

The previous prime is 20858119. The next prime is 20858147. The reversal of 20858124 is 42185802.

It is a super-2 number, since 2×208581242 = 870122673598752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20858091 and 20858100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10239 + ... + 12105.

Almost surely, 220858124 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 20858124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813280).

20858124 is an abundant number, since it is smaller than the sum of its proper divisors (38768436).

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

20858124 is a wasteful number, since it uses less digits than its factorization.

20858124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 20858124 is about 4567.0695199438. The cubic root of 20858124 is about 275.2697034487.

The spelling of 20858124 in words is "twenty million, eight hundred fifty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 1867 2793 3724 3734 5586 5601 7468 11172 11202 13069 22404 26138 35473 39207 52276 70946 78414 91483 106419 141892 156828 182966 212838 248311 274449 365932 425676 496622 548898 744933 993244 1097796 1489866 1738177 2979732 3476354 5214531 6952708 10429062 20858124