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20007988 = 227111319263
BaseRepresentation
bin100110001010…
…0110000110100
31101122111210121
41030110300310
520110223423
61552501324
7332031220
oct114246064
941574717
1020007988
1110326330
12684a844
1341b6c60
14292b780
151b5345d
hex1314c34

20007988 has 96 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 6791040.

The previous prime is 20007979. The next prime is 20008019. The reversal of 20007988 is 88970002.

It is a happy number.

It is a congruent number.

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, 75945 + ... + 76207.

It is an arithmetic number, because the mean of its divisors is an integer number (517440).

Almost surely, 220007988 is an apocalyptic number.

20007988 is a gapful number since it is divisible by the number (28) 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 20007988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

20007988 is an abundant number, since it is smaller than the sum of its proper divisors (29666252).

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

20007988 is a wasteful number, since it uses less digits than its factorization.

20007988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 20007988 is about 4473.0289513930. The cubic root of 20007988 is about 271.4778947959.

It can be divided in two parts, 20007 and 988, that multiplied together give a square (19766916 = 44462).

The spelling of 20007988 in words is "twenty million, seven thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 263 266 286 308 364 418 494 526 532 572 836 988 1001 1052 1463 1729 1841 2002 2717 2893 2926 3419 3458 3682 4004 4997 5434 5786 5852 6838 6916 7364 9994 10868 11572 13676 19019 19988 20251 23933 34979 37609 38038 40502 47866 54967 64961 69958 75218 76076 81004 95732 109934 129922 139916 150436 219868 259844 263263 384769 454727 526526 714571 769538 909454 1053052 1429142 1539076 1818908 2858284 5001997 10003994 20007988