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20103552 = 27347277
BaseRepresentation
bin100110010110…
…0000110000000
31101211100220000
41030230012000
520121303202
61554520000
7332606640
oct114540600
941740800
1020103552
1110391107
126896000
13421b5c1
142954520
151b7191c
hex132c180

20103552 has 160 divisors (see below), whose sum is σ = 68621520. Its totient is φ = 5723136.

The previous prime is 20103547. The next prime is 20103553. The reversal of 20103552 is 25530102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72438 + ... + 72714.

Almost surely, 220103552 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 20103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34310760).

20103552 is an abundant number, since it is smaller than the sum of its proper divisors (48517968).

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

20103552 is an equidigital number, since it uses as much as digits as its factorization.

20103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20103552 is about 4483.6984733588. The cubic root of 20103552 is about 271.9094277448.

Adding to 20103552 its reverse (25530102), we get a palindrome (45633654).

The spelling of 20103552 in words is "twenty million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 277 288 324 336 378 384 432 448 504 554 567 576 648 672 756 831 864 896 1008 1108 1134 1152 1296 1344 1512 1662 1728 1939 2016 2216 2268 2493 2592 2688 3024 3324 3456 3878 4032 4432 4536 4986 5184 5817 6048 6648 7479 7756 8064 8864 9072 9972 10368 11634 12096 13296 14958 15512 17451 17728 18144 19944 22437 23268 24192 26592 29916 31024 34902 35456 36288 39888 44874 46536 52353 53184 59832 62048 69804 72576 79776 89748 93072 104706 106368 119664 124096 139608 157059 159552 179496 186144 209412 239328 248192 279216 314118 319104 358992 372288 418824 478656 558432 628236 717984 744576 837648 957312 1116864 1256472 1435968 1675296 2233728 2512944 2871936 3350592 5025888 6701184 10051776 20103552