Search a number
-
+
21783040 = 29567127
BaseRepresentation
bin101001100011…
…0001000000000
31111222200201021
41103012020000
521034024130
62054515224
7353103256
oct123061000
944880637
1021783040
1111328a14
127365b14
134688b96
142c705d6
151da437a
hex14c6200

21783040 has 80 divisors (see below), whose sum is σ = 53425152. Its totient is φ = 8515584.

The previous prime is 21783037. The next prime is 21783059. The reversal of 21783040 is 4038712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21782996 and 21783014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171457 + ... + 171583.

Almost surely, 221783040 is an apocalyptic number.

21783040 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 21783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712576).

21783040 is an abundant number, since it is smaller than the sum of its proper divisors (31642112).

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

21783040 is an equidigital number, since it uses as much as digits as its factorization.

21783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 21783040 is about 4667.2304421359. The cubic root of 21783040 is about 279.2797816900.

The spelling of 21783040 in words is "twenty-one million, seven hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 127 128 134 160 254 256 268 320 335 508 512 536 635 640 670 1016 1072 1270 1280 1340 2032 2144 2540 2560 2680 4064 4288 5080 5360 8128 8509 8576 10160 10720 16256 17018 17152 20320 21440 32512 34036 34304 40640 42545 42880 65024 68072 81280 85090 85760 136144 162560 170180 171520 272288 325120 340360 544576 680720 1089152 1361440 2178304 2722880 4356608 5445760 10891520 21783040