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20154540 = 22357471021
BaseRepresentation
bin100110011100…
…0100010101100
31101220221211110
41030320202230
520124421130
61555552020
7333211410
oct114704254
941827743
1020154540
111041644a
1268bb610
134238883
142968d40
151b81ab0
hex13388ac

20154540 has 96 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 4504320.

The previous prime is 20154527. The next prime is 20154569. The reversal of 20154540 is 4545102.

It is a super-2 number, since 2×201545402 = 812410965223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

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 31 ways as a sum of consecutive naturals, for example, 19230 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 220154540 is an apocalyptic number.

20154540 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 20154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

20154540 is an abundant number, since it is smaller than the sum of its proper divisors (45776724).

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

20154540 is a wasteful number, since it uses less digits than its factorization.

20154540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 20154540 is about 4489.3808036298. The cubic root of 20154540 is about 272.1391120870.

Adding to 20154540 its reverse (4545102), we get a palindrome (24699642).

It can be divided in two parts, 2015 and 4540, that added together give a triangular number (6555 = T114).

The spelling of 20154540 in words is "twenty million, one hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1021 1316 1410 1645 1974 2042 2820 3063 3290 3948 4084 4935 5105 6126 6580 7147 9870 10210 12252 14294 15315 19740 20420 21441 28588 30630 35735 42882 47987 61260 71470 85764 95974 107205 142940 143961 191948 214410 239935 287922 335909 428820 479870 575844 671818 719805 959740 1007727 1343636 1439610 1679545 2015454 2879220 3359090 4030908 5038635 6718180 10077270 20154540