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20993460 = 22354379103
BaseRepresentation
bin101000000010…
…1010110110100
31110111120121120
41100011112310
520333242320
62025543540
7343304265
oct120052664
943446546
1020993460
1110939774
127044bb0
134470687
142b0696c
151c9a440
hex14055b4

20993460 has 96 divisors (see below), whose sum is σ = 61501440. Its totient is φ = 5346432.

The previous prime is 20993447. The next prime is 20993471. The reversal of 20993460 is 6439902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203769 + ... + 203871.

It is an arithmetic number, because the mean of its divisors is an integer number (640640).

Almost surely, 220993460 is an apocalyptic number.

20993460 is a gapful number since it is divisible by the number (20) 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 20993460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750720).

20993460 is an abundant number, since it is smaller than the sum of its proper divisors (40507980).

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

20993460 is a wasteful number, since it uses less digits than its factorization.

20993460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20993460 is about 4581.8620668894. The cubic root of 20993460 is about 275.8637744040.

The spelling of 20993460 in words is "twenty million, nine hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 79 86 103 129 158 172 206 215 237 258 309 316 395 412 430 474 515 516 618 645 790 860 948 1030 1185 1236 1290 1545 1580 2060 2370 2580 3090 3397 4429 4740 6180 6794 8137 8858 10191 13287 13588 16274 16985 17716 20382 22145 24411 26574 32548 33970 40685 40764 44290 48822 50955 53148 66435 67940 81370 88580 97644 101910 122055 132870 162740 203820 244110 265740 349891 488220 699782 1049673 1399564 1749455 2099346 3498910 4198692 5248365 6997820 10496730 20993460