Search a number
-
+
20259504 = 2433232039
BaseRepresentation
bin100110101001…
…0001010110000
31102010021211000
41031102022300
520141301004
62002122000
7334126416
oct115221260
942107730
1020259504
11104882a1
126950300
134274595
1429952b6
151ba2c39
hex13522b0

20259504 has 80 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 6456384.

The previous prime is 20259497. The next prime is 20259521. The reversal of 20259504 is 40595202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8917 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 220259504 is an apocalyptic number.

20259504 is a gapful number since it is divisible by the number (24) 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 20259504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

20259504 is an abundant number, since it is smaller than the sum of its proper divisors (40450896).

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

20259504 is a wasteful number, since it uses less digits than its factorization.

20259504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20259504 is about 4501.0558761251. The cubic root of 20259504 is about 272.6107240187.

The spelling of 20259504 in words is "twenty million, two hundred fifty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2039 2484 3312 4078 4968 6117 8156 9936 12234 16312 18351 24468 32624 36702 46897 48936 55053 73404 93794 97872 110106 140691 146808 187588 220212 281382 293616 375176 422073 440424 562764 750352 844146 880848 1125528 1266219 1688292 2251056 2532438 3376584 5064876 6753168 10129752 20259504