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20580448 = 257791163
BaseRepresentation
bin100111010000…
…0100001100000
31102201121001211
41032200201200
520232033243
62013035504
7336634210
oct116404140
942647054
1020580448
1110687439
126a85b94
1343576a5
142a3a240
151c17d9d
hex13a0860

20580448 has 48 divisors (see below), whose sum is σ = 46932480. Its totient is φ = 8701056.

The previous prime is 20580437. The next prime is 20580463. The reversal of 20580448 is 84408502.

It is a congruent number.

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, 17115 + ... + 18277.

It is an arithmetic number, because the mean of its divisors is an integer number (977760).

Almost surely, 220580448 is an apocalyptic number.

20580448 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 20580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466240).

20580448 is an abundant number, since it is smaller than the sum of its proper divisors (26352032).

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

20580448 is a wasteful number, since it uses less digits than its factorization.

20580448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 20580448 is about 4536.5678656888. The cubic root of 20580448 is about 274.0427233716.

The spelling of 20580448 in words is "twenty million, five hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1163 1264 2212 2326 2528 4424 4652 8141 8848 9304 16282 17696 18608 32564 37216 65128 91877 130256 183754 260512 367508 643139 735016 1286278 1470032 2572556 2940064 5145112 10290224 20580448