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20527488 = 2732103173
BaseRepresentation
bin100111001001…
…1100110000000
31102121220102100
41032103212000
520223334423
62011550400
7336323622
oct116234600
942556370
1020527488
1110650673
126a5b400
134339557
142a24c12
151c07343
hex1393980

20527488 has 96 divisors (see below), whose sum is σ = 59988240. Its totient is φ = 6736896.

The previous prime is 20527459. The next prime is 20527499. The reversal of 20527488 is 88472502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118570 + ... + 118742.

Almost surely, 220527488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994120).

20527488 is an abundant number, since it is smaller than the sum of its proper divisors (39460752).

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

20527488 is a wasteful number, since it uses less digits than its factorization.

20527488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20527488 is about 4530.7270939663. The cubic root of 20527488 is about 273.8074552575.

The spelling of 20527488 in words is "twenty million, five hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 173 192 206 288 309 346 384 412 519 576 618 692 824 927 1038 1152 1236 1384 1557 1648 1854 2076 2472 2768 3114 3296 3708 4152 4944 5536 6228 6592 7416 8304 9888 11072 12456 13184 14832 16608 17819 19776 22144 24912 29664 33216 35638 39552 49824 53457 59328 66432 71276 99648 106914 118656 142552 160371 199296 213828 285104 320742 427656 570208 641484 855312 1140416 1282968 1710624 2280832 2565936 3421248 5131872 6842496 10263744 20527488