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20141440 = 275112861
BaseRepresentation
bin100110011010…
…1010110000000
31101220021212021
41030311112000
520124011230
61555411224
7333125254
oct114652600
941807767
1020141440
1110407620
1268b3b14
134232917
142964264
151b7cc7a
hex1335580

20141440 has 64 divisors (see below), whose sum is σ = 52546320. Its totient is φ = 7321600.

The previous prime is 20141423. The next prime is 20141441. The reversal of 20141440 is 4414102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5610 + ... + 8470.

Almost surely, 220141440 is an apocalyptic number.

20141440 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 20141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26273160).

20141440 is an abundant number, since it is smaller than the sum of its proper divisors (32404880).

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

20141440 is a wasteful number, since it uses less digits than its factorization.

20141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20141440 is about 4487.9215679421. The cubic root of 20141440 is about 272.0801378635.

Adding to 20141440 its reverse (4414102), we get a palindrome (24555542).

The spelling of 20141440 in words is "twenty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2861 3520 5722 7040 11444 14305 22888 28610 31471 45776 57220 62942 91552 114440 125884 157355 183104 228880 251768 314710 366208 457760 503536 629420 915520 1007072 1258840 1831040 2014144 2517680 4028288 5035360 10070720 20141440