Search a number
-
+
21673120 = 255737523
BaseRepresentation
bin101001010101…
…1010010100000
31111210002221011
41102223102200
521022014440
62052310304
7352134640
oct122532240
944702834
1021673120
1111263377
127312394
13464ab41
142c42520
151d819ea
hex14ab4a0

21673120 has 96 divisors (see below), whose sum is σ = 60213888. Its totient is φ = 7216128.

The previous prime is 21673103. The next prime is 21673139. The reversal of 21673120 is 2137612.

It is a junction number, because it is equal to n+sod(n) for n = 21673091 and 21673100.

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, 41179 + ... + 41701.

It is an arithmetic number, because the mean of its divisors is an integer number (627228).

Almost surely, 221673120 is an apocalyptic number.

21673120 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 21673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106944).

21673120 is an abundant number, since it is smaller than the sum of its proper divisors (38540768).

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

21673120 is a wasteful number, since it uses less digits than its factorization.

21673120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 21673120 is about 4655.4398288454. The cubic root of 21673120 is about 278.8092288360.

The spelling of 21673120 in words is "twenty-one million, six hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 523 560 592 740 1036 1046 1120 1184 1295 1480 2072 2092 2590 2615 2960 3661 4144 4184 5180 5230 5920 7322 8288 8368 10360 10460 14644 16736 18305 19351 20720 20920 29288 36610 38702 41440 41840 58576 73220 77404 83680 96755 117152 135457 146440 154808 193510 270914 292880 309616 387020 541828 585760 619232 677285 774040 1083656 1354570 1548080 2167312 2709140 3096160 4334624 5418280 10836560 21673120