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20389590 = 23351337157
BaseRepresentation
bin100110111000…
…1111011010110
31102100220021000
41031301323112
520204431330
62005004130
7335210604
oct115617326
942326230
1020389590
1110567001
1269b3646
1342bb860
1429ca874
151bcb560
hex1371ed6

20389590 has 128 divisors (see below), whose sum is σ = 60520320. Its totient is φ = 4852224.

The previous prime is 20389583. The next prime is 20389591. The reversal of 20389590 is 9598302.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20389591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129792 + ... + 129948.

It is an arithmetic number, because the mean of its divisors is an integer number (472815).

Almost surely, 220389590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20389590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260160).

20389590 is an abundant number, since it is smaller than the sum of its proper divisors (40130730).

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

20389590 is a wasteful number, since it uses less digits than its factorization.

20389590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20389590 is about 4515.4833628306. The cubic root of 20389590 is about 273.1929562082.

It can be divided in two parts, 2038 and 9590, that added together give a triangular number (11628 = T152).

The spelling of 20389590 in words is "twenty million, three hundred eighty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 157 185 195 222 234 270 314 333 351 370 390 471 481 555 585 666 702 785 942 962 999 1110 1170 1413 1443 1570 1665 1755 1998 2041 2355 2405 2826 2886 3330 3510 4082 4239 4329 4710 4810 4995 5809 6123 7065 7215 8478 8658 9990 10205 11618 12246 12987 14130 14430 17427 18369 20410 21195 21645 25974 29045 30615 34854 36738 42390 43290 52281 55107 58090 61230 64935 75517 87135 91845 104562 110214 129870 151034 156843 174270 183690 226551 261405 275535 313686 377585 453102 522810 551070 679653 755170 784215 1132755 1359306 1568430 2038959 2265510 3398265 4077918 6796530 10194795 20389590