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21214752 = 2531389191
BaseRepresentation
bin101000011101…
…1011000100000
31110220211011120
41100323120200
520412333002
62034412240
7345215406
oct120733040
943824146
1021214752
1110a7aa59
127131080
13451a310
142b63476
151ce0cbc
hex143b620

21214752 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 6420480.

The previous prime is 21214751. The next prime is 21214777. The reversal of 21214752 is 25741212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214751) 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, 110977 + ... + 111167.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 221214752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

21214752 is an abundant number, since it is smaller than the sum of its proper divisors (39749088).

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

21214752 is a wasteful number, since it uses less digits than its factorization.

21214752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 21214752 is about 4605.9474595353. The cubic root of 21214752 is about 276.8296815153.

Adding to 21214752 its reverse (25741212), we get a palindrome (46955964).

The spelling of 21214752 in words is "twenty-one million, two hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 89 96 104 156 178 191 208 267 312 356 382 416 534 573 624 712 764 1068 1146 1157 1248 1424 1528 2136 2292 2314 2483 2848 3056 3471 4272 4584 4628 4966 6112 6942 7449 8544 9168 9256 9932 13884 14898 16999 18336 18512 19864 27768 29796 33998 37024 39728 50997 55536 59592 67996 79456 101994 111072 119184 135992 203988 220987 238368 271984 407976 441974 543968 662961 815952 883948 1325922 1631904 1767896 2651844 3535792 5303688 7071584 10607376 21214752