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20552616 = 2334723197
BaseRepresentation
bin100111001100…
…1101110101000
31102200011220000
41032121232220
520230140431
62012303000
7336460110
oct116315650
942604800
1020552616
1110668537
126a71a60
134347b16
142a30040
151c0e9e6
hex1399ba8

20552616 has 160 divisors (see below), whose sum is σ = 68999040. Its totient is φ = 5588352.

The previous prime is 20552611. The next prime is 20552627. The reversal of 20552616 is 61625502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20552616.

It is not an unprimeable number, because it can be changed into a prime (20552611) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 104230 + ... + 104426.

It is an arithmetic number, because the mean of its divisors is an integer number (431244).

Almost surely, 220552616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20552616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499520).

20552616 is an abundant number, since it is smaller than the sum of its proper divisors (48446424).

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

20552616 is a wasteful number, since it uses less digits than its factorization.

20552616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20552616 is about 4533.4993106871. The cubic root of 20552616 is about 273.9191336120.

The spelling of 20552616 in words is "twenty million, five hundred fifty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 197 207 216 252 276 322 324 378 394 414 483 504 552 567 591 621 644 648 756 788 828 966 1134 1182 1242 1288 1379 1449 1512 1576 1656 1773 1863 1932 2268 2364 2484 2758 2898 3546 3726 3864 4137 4347 4531 4536 4728 4968 5319 5516 5796 7092 7452 8274 8694 9062 10638 11032 11592 12411 13041 13593 14184 14904 15957 16548 17388 18124 21276 24822 26082 27186 31717 31914 33096 34776 36248 37233 40779 42552 49644 52164 54372 63434 63828 74466 81558 95151 99288 104328 108744 111699 122337 126868 127656 148932 163116 190302 223398 244674 253736 285453 297864 326232 367011 380604 446796 489348 570906 734022 761208 856359 893592 978696 1141812 1468044 1712718 2283624 2569077 2936088 3425436 5138154 6850872 10276308 20552616