Search a number
-
+
21380832 = 25321117397
BaseRepresentation
bin101000110001…
…1111011100000
31111020020222200
41101203323200
520433141312
62042133200
7346506534
oct121437340
944206880
1021380832
1111083810
1271b1200
134577aa5
142ba7bc4
151d250dc
hex1463ee0

21380832 has 144 divisors (see below), whose sum is σ = 70407792. Its totient is φ = 6082560.

The previous prime is 21380813. The next prime is 21380851. The reversal of 21380832 is 23808312.

It is an interprime number because it is at equal distance from previous prime (21380813) and next prime (21380851).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 21380796 and 21380805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53658 + ... + 54054.

It is an arithmetic number, because the mean of its divisors is an integer number (488943).

Almost surely, 221380832 is an apocalyptic number.

21380832 is a gapful number since it is divisible by the number (22) 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 21380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35203896).

21380832 is an abundant number, since it is smaller than the sum of its proper divisors (49026960).

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

21380832 is a wasteful number, since it uses less digits than its factorization.

21380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21380832 is about 4623.9411760964. The cubic root of 21380832 is about 277.5501930147.

The spelling of 21380832 in words is "twenty-one million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 397 408 528 544 561 612 748 792 794 816 1056 1122 1191 1224 1496 1584 1588 1632 1683 2244 2382 2448 2992 3168 3176 3366 3573 4367 4488 4764 4896 5984 6352 6732 6749 7146 8734 8976 9528 12704 13101 13464 13498 14292 17468 17952 19056 20247 26202 26928 26996 28584 34936 38112 39303 40494 52404 53856 53992 57168 60741 69872 74239 78606 80988 104808 107984 114336 121482 139744 148478 157212 161976 209616 215968 222717 242964 296956 314424 323952 419232 445434 485928 593912 628848 647904 668151 890868 971856 1187824 1257696 1336302 1781736 1943712 2375648 2672604 3563472 5345208 7126944 10690416 21380832