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20513440 = 255294421
BaseRepresentation
bin100111001000…
…0001010100000
31102121012011001
41032100022200
520222412230
62011401344
7336234643
oct116201240
942535131
1020513440
1110641062
126a53254
13433303c
142a1da5a
151c030ca
hex13902a0

20513440 has 48 divisors (see below), whose sum is σ = 50145480. Its totient is φ = 7920640.

The previous prime is 20513431. The next prime is 20513443. The reversal of 20513440 is 4431502.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 1468944 = 4364^2 + 1212^2 .

It is not an unprimeable number, because it can be changed into a prime (20513443) 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, 2430 + ... + 6850.

Almost surely, 220513440 is an apocalyptic number.

20513440 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 20513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072740).

20513440 is an abundant number, since it is smaller than the sum of its proper divisors (29632040).

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

20513440 is a wasteful number, since it uses less digits than its factorization.

20513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20513440 is about 4529.1765255949. The cubic root of 20513440 is about 273.7449808995.

Adding to 20513440 its reverse (4431502), we get a palindrome (24944942).

The spelling of 20513440 in words is "twenty million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4421 4640 8842 17684 22105 35368 44210 70736 88420 128209 141472 176840 256418 353680 512836 641045 707360 1025672 1282090 2051344 2564180 4102688 5128360 10256720 20513440