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20564016 = 24311172979
BaseRepresentation
bin100111001110…
…0100000110000
31102200202112020
41032130200300
520231022031
62012431440
7336535254
oct116344060
942622466
1020564016
1110676060
126a78580
134350075
142a34264
151c13096
hex139c830

20564016 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5591040.

The previous prime is 20563981. The next prime is 20564021. The reversal of 20564016 is 61046502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260265 + ... + 260343.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 220564016 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 20564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

20564016 is an abundant number, since it is smaller than the sum of its proper divisors (43717584).

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

20564016 is a wasteful number, since it uses less digits than its factorization.

20564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20564016 is about 4534.7564432944. The cubic root of 20564016 is about 273.9697695172.

The spelling of 20564016 in words is "twenty million, five hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 79 87 88 102 116 132 136 158 174 176 187 204 232 237 264 272 316 319 348 374 408 464 474 493 528 561 632 638 696 748 816 869 948 957 986 1122 1264 1276 1343 1392 1479 1496 1738 1896 1914 1972 2244 2291 2552 2607 2686 2958 2992 3476 3792 3828 3944 4029 4488 4582 5104 5214 5372 5423 5916 6873 6952 7656 7888 8058 8976 9164 10428 10744 10846 11832 13746 13904 14773 15312 16116 16269 18328 20856 21488 21692 23664 25201 27492 29546 32232 32538 36656 38947 41712 43384 44319 50402 54984 59092 64464 65076 75603 77894 86768 88638 100804 109968 116841 118184 130152 151206 155788 177276 201608 233682 236368 260304 302412 311576 354552 403216 428417 467364 604824 623152 709104 856834 934728 1209648 1285251 1713668 1869456 2570502 3427336 5141004 6854672 10282008 20564016