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20685924 = 22327234383
BaseRepresentation
bin100111011101…
…0010001100100
31102220221202100
41032322101210
520243422144
62015212100
7340553550
oct116722144
942827670
1020685924
1110749706
126b17030
1343936bc
142a66860
151c39269
hex13ba464

20685924 has 144 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 5455296.

The previous prime is 20685919. The next prime is 20685971. The reversal of 20685924 is 42958602.

It is a happy number.

20685924 is a `hidden beast` number, since 2 + 0 + 68 + 592 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249187 + ... + 249269.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 220685924 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 20685924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

20685924 is an abundant number, since it is smaller than the sum of its proper divisors (43890588).

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

20685924 is a wasteful number, since it uses less digits than its factorization.

20685924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20685924 is about 4548.1780967768. The cubic root of 20685924 is about 274.5100875188.

It can be divided in two parts, 20685 and 924, that added together give a square (21609 = 1472).

The spelling of 20685924 in words is "twenty million, six hundred eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 43 46 63 69 83 84 86 92 126 129 138 161 166 172 207 249 252 258 276 301 322 332 387 414 483 498 516 581 602 644 747 774 828 903 966 989 996 1162 1204 1449 1494 1548 1743 1806 1909 1932 1978 2324 2709 2898 2967 2988 3486 3569 3612 3818 3956 5229 5418 5727 5796 5934 6923 6972 7138 7636 8901 10458 10707 10836 11454 11868 13363 13846 14276 17181 17802 20769 20916 21414 22908 24983 26726 27692 32121 34362 35604 40089 41538 42828 49966 53452 62307 64242 68724 74949 80178 82087 83076 99932 120267 124614 128484 149898 160356 164174 224847 240534 246261 249228 299796 328348 449694 481068 492522 574609 738783 899388 985044 1149218 1477566 1723827 2298436 2955132 3447654 5171481 6895308 10342962 20685924