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20545434 = 23371337113
BaseRepresentation
bin100111001011…
…1111110011010
31102122211001000
41032113332122
520224423214
62012205430
7336430140
oct116277632
942584030
1020545434
11106630a8
126a69876
134344780
142a2b590
151c0c809
hex1397f9a

20545434 has 128 divisors (see below), whose sum is σ = 58222080. Its totient is φ = 5225472.

The previous prime is 20545433. The next prime is 20545477. The reversal of 20545434 is 43454502.

20545434 is a `hidden beast` number, since 205 + 454 + 3 + 4 = 666.

It is a super-2 number, since 2×205454342 = 844229716496712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20545398 and 20545407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20545433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181762 + ... + 181874.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 220545434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20545434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111040).

20545434 is an abundant number, since it is smaller than the sum of its proper divisors (37676646).

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

20545434 is a wasteful number, since it uses less digits than its factorization.

20545434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 20545434 is about 4532.7071381240. The cubic root of 20545434 is about 273.8872233771.

Adding to 20545434 its reverse (43454502), we get a palindrome (63999936).

The spelling of 20545434 in words is "twenty million, five hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 91 111 113 117 126 182 189 222 226 234 259 273 333 339 351 378 481 518 546 666 678 702 777 791 819 962 999 1017 1443 1469 1554 1582 1638 1998 2034 2331 2373 2457 2886 2938 3051 3367 4181 4329 4407 4662 4746 4914 6102 6734 6993 7119 8362 8658 8814 10101 10283 12543 12987 13221 13986 14238 20202 20566 21357 25086 25974 26442 29267 30303 30849 37629 39663 42714 54353 58534 60606 61698 75258 79326 87801 90909 92547 108706 112887 163059 175602 181818 185094 225774 263403 277641 326118 380471 489177 526806 555282 760942 790209 978354 1141413 1467531 1580418 2282826 2935062 3424239 6848478 10272717 20545434