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20321488 = 24111959103
BaseRepresentation
bin100110110000…
…1010011010000
31102020102211201
41031201103100
520200241423
62003320544
7334505215
oct115412320
942212751
1020321488
111051a920
126980154
134296865
1429adb0c
151bb62ad
hex13614d0

20321488 has 80 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 8519040.

The previous prime is 20321447. The next prime is 20321537. The reversal of 20321488 is 88412302.

It is a super-3 number, since 3×203214883 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197245 + ... + 197347.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 220321488 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 20321488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

20321488 is an abundant number, since it is smaller than the sum of its proper divisors (26104112).

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

20321488 is a wasteful number, since it uses less digits than its factorization.

20321488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20321488 is about 4507.9361131232. The cubic root of 20321488 is about 272.8884586842. Note that the first 3 decimals are identical.

It can be divided in two parts, 203214 and 88, that added together give a palindrome (203302).

The spelling of 20321488 in words is "twenty million, three hundred twenty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 59 76 88 103 118 152 176 206 209 236 304 412 418 472 649 824 836 944 1121 1133 1298 1648 1672 1957 2242 2266 2596 3344 3914 4484 4532 5192 6077 7828 8968 9064 10384 12154 12331 15656 17936 18128 21527 24308 24662 31312 43054 48616 49324 66847 86108 97232 98648 115463 133694 172216 197296 230926 267388 344432 461852 534776 923704 1069552 1270093 1847408 2540186 5080372 10160744 20321488