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20198464 = 2611132207
BaseRepresentation
bin100110100001…
…1010001000000
31102000012002021
41031003101000
520132322324
62000531224
7333453436
oct115032100
942005067
1020198464
1110446450
126920b14
134252870
14297ad56
151b8eae4
hex1343440

20198464 has 56 divisors (see below), whose sum is σ = 47109888. Its totient is φ = 8471040.

The previous prime is 20198449. The next prime is 20198489. The reversal of 20198464 is 46489102.

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, 8049 + ... + 10255.

It is an arithmetic number, because the mean of its divisors is an integer number (841248).

Almost surely, 220198464 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 20198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554944).

20198464 is an abundant number, since it is smaller than the sum of its proper divisors (26911424).

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

20198464 is a wasteful number, since it uses less digits than its factorization.

20198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 20198464 is about 4494.2701298431. The cubic root of 20198464 is about 272.3366650162.

The spelling of 20198464 in words is "twenty million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2207 2288 4414 4576 8828 9152 17656 24277 28691 35312 48554 57382 70624 97108 114764 141248 194216 229528 315601 388432 459056 631202 776864 918112 1262404 1553728 1836224 2524808 5049616 10099232 20198464