Search a number
-
+
21750080 = 2651137167
BaseRepresentation
bin101001011111…
…0000101000000
31111221000111112
41102332011000
521032000310
62054102452
7352605212
oct122760500
944830445
1021750080
1111306180
12734aa28
134676b91
142c625b2
151d99705
hex14be140

21750080 has 112 divisors (see below), whose sum is σ = 58375296. Its totient is φ = 7649280.

The previous prime is 21750077. The next prime is 21750083. The reversal of 21750080 is 8005712.

It is an interprime number because it is at equal distance from previous prime (21750077) and next prime (21750083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21750083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130157 + ... + 130323.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 221750080 is an apocalyptic number.

21750080 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 21750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).

21750080 is an abundant number, since it is smaller than the sum of its proper divisors (36625216).

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

21750080 is a wasteful number, since it uses less digits than its factorization.

21750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 21750080 is about 4663.6981034368. The cubic root of 21750080 is about 279.1388508213.

Adding to 21750080 its reverse (8005712), we get a palindrome (29755792).

The spelling of 21750080 in words is "twenty-one million, seven hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 167 176 185 220 296 320 334 352 370 407 440 592 668 704 740 814 835 880 1184 1336 1480 1628 1670 1760 1837 2035 2368 2672 2960 3256 3340 3520 3674 4070 5344 5920 6179 6512 6680 7348 8140 9185 10688 11840 12358 13024 13360 14696 16280 18370 24716 26048 26720 29392 30895 32560 36740 49432 53440 58784 61790 65120 67969 73480 98864 117568 123580 130240 135938 146960 197728 247160 271876 293920 339845 395456 494320 543752 587840 679690 988640 1087504 1359380 1977280 2175008 2718760 4350016 5437520 10875040 21750080