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20459628 = 223573197
BaseRepresentation
bin100111000001…
…1000001101100
31102111110100000
41032003001230
520214202003
62010304300
7335622030
oct116030154
942443300
1020459628
1110604692
126a28090
1343146b7
142a081c0
151be21a3
hex138306c

20459628 has 144 divisors (see below), whose sum is σ = 63924224. Its totient is φ = 5598720.

The previous prime is 20459623. The next prime is 20459629. The reversal of 20459628 is 82695402.

It is a happy number.

20459628 is a `hidden beast` number, since 20 + 4 + 5 + 9 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20459592 and 20459601.

It is not an unprimeable number, because it can be changed into a prime (20459623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210876 + ... + 210972.

Almost surely, 220459628 is an apocalyptic number.

20459628 is a gapful number since it is divisible by the number (28) 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 20459628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31962112).

20459628 is an abundant number, since it is smaller than the sum of its proper divisors (43464596).

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

20459628 is a wasteful number, since it uses less digits than its factorization.

20459628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20459628 is about 4523.2320303075. The cubic root of 20459628 is about 273.5054035854.

The spelling of 20459628 in words is "twenty million, four hundred fifty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 97 108 124 126 162 186 189 194 217 243 252 279 291 324 372 378 388 434 486 558 567 582 651 679 756 837 868 873 972 1116 1134 1164 1302 1358 1674 1701 1746 1953 2037 2268 2511 2604 2619 2716 3007 3348 3402 3492 3906 4074 5022 5238 5859 6014 6111 6804 7533 7812 7857 8148 9021 10044 10476 11718 12028 12222 15066 15714 17577 18042 18333 21049 23436 23571 24444 27063 30132 31428 35154 36084 36666 42098 47142 52731 54126 54999 63147 70308 73332 81189 84196 94284 105462 108252 109998 126294 162378 164997 189441 210924 219996 243567 252588 324756 329994 378882 487134 568323 659988 730701 757764 974268 1136646 1461402 1704969 2273292 2922804 3409938 5114907 6819876 10229814 20459628