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20388384 = 253270793
BaseRepresentation
bin100110111000…
…1101000100000
31102100211121100
41031301220200
520204412014
62004554400
7335204232
oct115615040
942324540
1020388384
1110566105
1269b2a00
1342bb143
1429ca252
151bcb009
hex1371a20

20388384 has 36 divisors (see below), whose sum is σ = 57980286. Its totient is φ = 6796032.

The previous prime is 20388371. The next prime is 20388391. The reversal of 20388384 is 48388302.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20250000 + 138384 = 4500^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35109 + ... + 35684.

Almost surely, 220388384 is an apocalyptic number.

20388384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20388384 is an abundant number, since it is smaller than the sum of its proper divisors (37591902).

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

20388384 is a wasteful number, since it uses less digits than its factorization.

20388384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70809 (or 70798 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 20388384 is about 4515.3498203351. The cubic root of 20388384 is about 273.1875698452.

The spelling of 20388384 in words is "twenty million, three hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 70793 141586 212379 283172 424758 566344 637137 849516 1132688 1274274 1699032 2265376 2548548 3398064 5097096 6796128 10194192 20388384