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20162472 = 23311253131
BaseRepresentation
bin100110011101…
…0011110101000
31101221100201020
41030322132220
520130144342
62000052440
7333243501
oct114723650
941840636
1020162472
1110421400
126904120
13423c375
14296bba8
151b840ec
hex133a7a8

20162472 has 96 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 5948800.

The previous prime is 20162449. The next prime is 20162489. The reversal of 20162472 is 27426102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153847 + ... + 153977.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 220162472 is an apocalyptic number.

20162472 is a gapful number since it is divisible by the number (22) 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 20162472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720).

20162472 is an abundant number, since it is smaller than the sum of its proper divisors (36718968).

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

20162472 is a wasteful number, since it uses less digits than its factorization.

20162472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20162472 is about 4490.2641347698. The cubic root of 20162472 is about 272.1748083341.

Adding to 20162472 its reverse (27426102), we get a palindrome (47588574).

The spelling of 20162472 in words is "twenty million, one hundred sixty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 121 131 132 159 212 242 262 264 318 363 393 424 484 524 583 636 726 786 968 1048 1166 1272 1441 1452 1572 1749 2332 2882 2904 3144 3498 4323 4664 5764 6413 6943 6996 8646 11528 12826 13886 13992 15851 17292 19239 20829 25652 27772 31702 34584 38478 41658 47553 51304 55544 63404 76373 76956 83316 95106 126808 152746 153912 166632 190212 229119 305492 380424 458238 610984 840103 916476 1680206 1832952 2520309 3360412 5040618 6720824 10081236 20162472