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20514368 = 267291579
BaseRepresentation
bin100111001000…
…0011001000000
31102121020102102
41032100121000
520222424433
62011405532
7336240440
oct116203100
942536372
1020514368
1110641826
126a538a8
1343335a4
142a20120
151c034e8
hex1390640

20514368 has 56 divisors (see below), whose sum is σ = 48158400. Its totient is φ = 8483328.

The previous prime is 20514341. The next prime is 20514371. The reversal of 20514368 is 86341502.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 20514368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12203 + ... + 13781.

Almost surely, 220514368 is an apocalyptic number.

20514368 is a gapful number since it is divisible by the number (28) 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 20514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079200).

20514368 is an abundant number, since it is smaller than the sum of its proper divisors (27644032).

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

20514368 is a wasteful number, since it uses less digits than its factorization.

20514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 20514368 is about 4529.2789713154. The cubic root of 20514368 is about 273.7491087869.

The spelling of 20514368 in words is "twenty million, five hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1579 1624 1856 3158 3248 6316 6496 11053 12632 12992 22106 25264 44212 45791 50528 88424 91582 101056 176848 183164 320537 353696 366328 641074 707392 732656 1282148 1465312 2564296 2930624 5128592 10257184 20514368