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20014920 = 23325531049
BaseRepresentation
bin100110001011…
…0011101001000
31101122212022100
41030112131020
520110434140
61552553400
7332060352
oct114263510
941585270
1020014920
1110330562
126852860
1341ba163
1429300d2
151b55530
hex1316748

20014920 has 96 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 5231616.

The previous prime is 20014913. The next prime is 20014949. The reversal of 20014920 is 2941002.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 248004 = 4446^2 + 498^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20014893 and 20014902.

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, 18556 + ... + 19604.

Almost surely, 220014920 is an apocalyptic number.

20014920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20014920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

20014920 is an abundant number, since it is smaller than the sum of its proper divisors (46324080).

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

20014920 is a wasteful number, since it uses less digits than its factorization.

20014920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20014920 is about 4473.8037507249. The cubic root of 20014920 is about 271.5092433999.

Adding to 20014920 its reverse (2941002), we get a palindrome (22955922).

The spelling of 20014920 in words is "twenty million, fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1049 1060 1272 1590 1908 2098 2120 2385 3147 3180 3816 4196 4770 5245 6294 6360 8392 9441 9540 10490 12588 15735 18882 19080 20980 25176 31470 37764 41960 47205 55597 62940 75528 94410 111194 125880 166791 188820 222388 277985 333582 377640 444776 500373 555970 667164 833955 1000746 1111940 1334328 1667910 2001492 2223880 2501865 3335820 4002984 5003730 6671640 10007460 20014920