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20600464 = 2417531429
BaseRepresentation
bin100111010010…
…1011010010000
31102202121112011
41032211122100
520233203324
62013312304
7340046443
oct116453220
942677464
1020600464
11106a0485
126a95694
134363831
142a4365a
151c1dc94
hex13a5690

20600464 has 40 divisors (see below), whose sum is σ = 43088760. Its totient is φ = 9504768.

The previous prime is 20600449. The next prime is 20600471. The reversal of 20600464 is 46400602.

It can be written as a sum of positive squares in 4 ways, for example, as 3027600 + 17572864 = 1740^2 + 4192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13702 + ... + 15130.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 220600464 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 20600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544380).

20600464 is an abundant number, since it is smaller than the sum of its proper divisors (22488296).

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

20600464 is a wasteful number, since it uses less digits than its factorization.

20600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20600464 is about 4538.7734025836. The cubic root of 20600464 is about 274.1315368228.

The spelling of 20600464 in words is "twenty million, six hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1429 1802 2858 3604 5716 7208 11432 14416 22864 24293 48586 75737 97172 151474 194344 302948 388688 605896 1211792 1287529 2575058 5150116 10300232 20600464