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20189472 = 2531789139
BaseRepresentation
bin100110100000…
…1000100100000
31101222201202020
41031001010200
520132030342
62000421440
7333415302
oct115010440
941881666
1020189472
111043a716
126917880
13424b744
142977972
151b8c0ec
hex1341120

20189472 has 96 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 6217728.

The previous prime is 20189471. The next prime is 20189479. The reversal of 20189472 is 27498102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201894722 = 815229559277568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20189471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145179 + ... + 145317.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 220189472 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 20189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

20189472 is an abundant number, since it is smaller than the sum of its proper divisors (36964128).

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

20189472 is a wasteful number, since it uses less digits than its factorization.

20189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 20189472 is about 4493.2696335742. The cubic root of 20189472 is about 272.2962458573.

The spelling of 20189472 in words is "twenty million, one hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 139 178 204 267 272 278 356 408 417 534 544 556 712 816 834 1068 1112 1424 1513 1632 1668 2136 2224 2363 2848 3026 3336 4272 4448 4539 4726 6052 6672 7089 8544 9078 9452 12104 12371 13344 14178 18156 18904 24208 24742 28356 36312 37113 37808 48416 49484 56712 72624 74226 75616 98968 113424 145248 148452 197936 210307 226848 296904 395872 420614 593808 630921 841228 1187616 1261842 1682456 2523684 3364912 5047368 6729824 10094736 20189472