Search a number
-
+
21385000 = 235471347
BaseRepresentation
bin101000110010…
…0111100101000
31111020110201001
41101210330220
520433310000
62042204344
7346524640
oct121447450
944213631
1021385000
111108695a
1271b36b4
134579960
142ba9520
151d2646a
hex1464f28

21385000 has 160 divisors (see below), whose sum is σ = 62979840. Its totient is φ = 6624000.

The previous prime is 21384991. The next prime is 21385057. The reversal of 21385000 is 58312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454977 + ... + 455023.

It is an arithmetic number, because the mean of its divisors is an integer number (393624).

Almost surely, 221385000 is an apocalyptic number.

21385000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489920).

21385000 is an abundant number, since it is smaller than the sum of its proper divisors (41594840).

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

21385000 is a wasteful number, since it uses less digits than its factorization.

21385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 21385000 is about 4624.3918519087. The cubic root of 21385000 is about 277.5682271437.

The spelling of 21385000 in words is "twenty-one million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 47 50 52 56 65 70 91 94 100 104 125 130 140 175 182 188 200 235 250 260 280 325 329 350 364 376 455 470 500 520 611 625 650 658 700 728 875 910 940 1000 1175 1222 1250 1300 1316 1400 1625 1645 1750 1820 1880 2275 2350 2444 2500 2600 2632 3055 3250 3290 3500 3640 4277 4375 4550 4700 4888 5000 5875 6110 6500 6580 7000 8125 8225 8554 8750 9100 9400 11375 11750 12220 13000 13160 15275 16250 16450 17108 17500 18200 21385 22750 23500 24440 29375 30550 32500 32900 34216 35000 41125 42770 45500 47000 56875 58750 61100 65000 65800 76375 82250 85540 91000 106925 113750 117500 122200 152750 164500 171080 205625 213850 227500 235000 305500 329000 381875 411250 427700 455000 534625 611000 763750 822500 855400 1069250 1527500 1645000 2138500 2673125 3055000 4277000 5346250 10692500 21385000