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20557530 = 2335773149
BaseRepresentation
bin100111001101…
…0111011011010
31102200102122000
41032122323122
520230320110
62012341430
7336510330
oct116327332
942612560
1020557530
11106711a4
126a74876
13434a126
142a31b50
151c111c0
hex139aeda

20557530 has 128 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 4603392.

The previous prime is 20557507. The next prime is 20557571. The reversal of 20557530 is 3575502.

It is a super-2 number, since 2×205575302 = 845224079401800, 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 = 20557494 and 20557503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137896 + ... + 138044.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 220557530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20557530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

20557530 is an abundant number, since it is smaller than the sum of its proper divisors (43378470).

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

20557530 is a wasteful number, since it uses less digits than its factorization.

20557530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 20557530 is about 4534.0412437471. The cubic root of 20557530 is about 273.9409626476.

The spelling of 20557530 in words is "twenty million, five hundred fifty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 90 105 126 135 146 149 189 210 219 270 298 315 365 378 438 447 511 630 657 730 745 894 945 1022 1043 1095 1314 1341 1490 1533 1890 1971 2086 2190 2235 2555 2682 3066 3129 3285 3942 4023 4470 4599 5110 5215 6258 6570 6705 7665 8046 9198 9387 9855 10430 10877 13410 13797 15330 15645 18774 19710 20115 21754 22995 27594 28161 31290 32631 40230 45990 46935 54385 56322 65262 68985 76139 93870 97893 108770 137970 140805 152278 163155 195786 228417 281610 293679 326310 380695 456834 489465 587358 685251 761390 978930 1142085 1370502 1468395 2055753 2284170 2936790 3426255 4111506 6852510 10278765 20557530