Search a number
-
+
21028590 = 23251121931
BaseRepresentation
bin101000000110…
…1111011101110
31110120100210200
41100031323232
520340403330
62030414330
7343511562
oct120157356
943510720
1021028590
1110963100
1270613a6
13448366b
142b156a2
151ca5a60
hex140deee

21028590 has 72 divisors (see below), whose sum is σ = 60127704. Its totient is φ = 5095200.

The previous prime is 21028549. The next prime is 21028597. The reversal of 21028590 is 9582012.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21028597) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9925 + ... + 11855.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 221028590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21028590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063852).

21028590 is an abundant number, since it is smaller than the sum of its proper divisors (39099114).

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

21028590 is a wasteful number, since it uses less digits than its factorization.

21028590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21028590 is about 4585.6940587004. The cubic root of 21028590 is about 276.0175634696.

The spelling of 21028590 in words is "twenty-one million, twenty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 1931 2178 3630 3862 5445 5793 9655 10890 11586 17379 19310 21241 28965 34758 42482 57930 63723 86895 106205 127446 173790 191169 212410 233651 318615 382338 467302 637230 700953 955845 1168255 1401906 1911690 2102859 2336510 3504765 4205718 7009530 10514295 21028590