Search a number
-
+
21512790 = 236513227
BaseRepresentation
bin101001000010…
…0001001010110
31111110222000000
41102010021112
521001402130
62045032130
7350566335
oct122041126
944428000
1021512790
1111163972
127255646
1345c2b80
142bddd1c
151d4e260
hex1484256

21512790 has 112 divisors (see below), whose sum is σ = 62799408. Its totient is φ = 5272128.

The previous prime is 21512789. The next prime is 21512801. The reversal of 21512790 is 9721512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94657 + ... + 94883.

It is an arithmetic number, because the mean of its divisors is an integer number (560709).

Almost surely, 221512790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21512790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31399704).

21512790 is an abundant number, since it is smaller than the sum of its proper divisors (41286618).

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

21512790 is a wasteful number, since it uses less digits than its factorization.

21512790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21512790 is about 4638.1882238650. The cubic root of 21512790 is about 278.1200161544.

The spelling of 21512790 in words is "twenty-one million, five hundred twelve thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 227 234 243 270 351 390 405 454 486 585 681 702 729 810 1053 1135 1170 1215 1362 1458 1755 2043 2106 2270 2430 2951 3159 3405 3510 3645 4086 5265 5902 6129 6318 6810 7290 8853 9477 10215 10530 12258 14755 15795 17706 18387 18954 20430 26559 29510 30645 31590 36774 44265 47385 53118 55161 61290 79677 88530 91935 94770 110322 132795 159354 165483 183870 239031 265590 275805 330966 398385 478062 551610 717093 796770 827415 1195155 1434186 1654830 2151279 2390310 3585465 4302558 7170930 10756395 21512790