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20575152 = 24321329379
BaseRepresentation
bin100111001111…
…1001110110000
31102201022210200
41032133032300
520231401102
62012555200
7336612603
oct116371660
942638720
1020575152
1110683464
126a82b00
134355160
142a3833a
151c1651c
hex139f3b0

20575152 has 120 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 6096384.

The previous prime is 20575141. The next prime is 20575171. The reversal of 20575152 is 25157502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54099 + ... + 54477.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 220575152 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 20575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

20575152 is an abundant number, since it is smaller than the sum of its proper divisors (43743648).

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

20575152 is a wasteful number, since it uses less digits than its factorization.

20575152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 20575152 is about 4535.9841269564. The cubic root of 20575152 is about 274.0192147358.

It can be divided in two parts, 205 and 75152, that added together give a palindrome (75357).

The spelling of 20575152 in words is "twenty million, five hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 379 464 468 522 624 696 754 758 936 1044 1131 1137 1392 1508 1516 1872 2088 2262 2274 3016 3032 3393 3411 4176 4524 4548 4927 6032 6064 6786 6822 9048 9096 9854 10991 13572 13644 14781 18096 18192 19708 21982 27144 27288 29562 32973 39416 43964 44343 54288 54576 59124 65946 78832 87928 88686 98919 118248 131892 142883 175856 177372 197838 236496 263784 285766 354744 395676 428649 527568 571532 709488 791352 857298 1143064 1285947 1582704 1714596 2286128 2571894 3429192 5143788 6858384 10287576 20575152