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20988072 = 233472661
BaseRepresentation
bin101000000010…
…0000010101000
31110111022020000
41100010002220
520333104242
62025503000
7343252500
oct120040250
943438200
1020988072
1110935716
127041a60
13446b0a1
142b04a00
151c98a4c
hex14040a8

20988072 has 120 divisors (see below), whose sum is σ = 68487210. Its totient is φ = 5987520.

The previous prime is 20988061. The next prime is 20988089. The reversal of 20988072 is 27088902.

It can be written as a sum of positive squares in only one way, i.e., 15256836 + 5731236 = 3906^2 + 2394^2 .

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 29 ways as a sum of consecutive naturals, for example, 31422 + ... + 32082.

Almost surely, 220988072 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 20988072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34243605).

20988072 is an abundant number, since it is smaller than the sum of its proper divisors (47499138).

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

20988072 is a wasteful number, since it uses less digits than its factorization.

20988072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 20988072 is about 4581.2740585999. The cubic root of 20988072 is about 275.8401721140.

The spelling of 20988072 in words is "twenty million, nine hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 661 756 882 1134 1176 1322 1323 1512 1764 1983 2268 2644 2646 3528 3966 3969 4536 4627 5288 5292 5949 7932 7938 9254 10584 11898 13881 15864 15876 17847 18508 23796 27762 31752 32389 35694 37016 41643 47592 53541 55524 64778 71388 83286 97167 107082 111048 124929 129556 142776 166572 194334 214164 249858 259112 291501 333144 374787 388668 428328 499716 583002 749574 777336 874503 999432 1166004 1499148 1749006 2332008 2623509 2998296 3498012 5247018 6996024 10494036 20988072