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20354048 = 2101113139
BaseRepresentation
bin100110110100…
…1010000000000
31102022002111122
41031221100000
520202312143
62004131412
7335002151
oct115512000
942262448
1020354048
1110542330
126996b68
1342a8620
1429bb928
151bc0c68
hex1369400

20354048 has 88 divisors (see below), whose sum is σ = 48145440. Its totient is φ = 8478720.

The previous prime is 20354041. The next prime is 20354063. The reversal of 20354048 is 84045302.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146363 + ... + 146501.

Almost surely, 220354048 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 20354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072720).

20354048 is an abundant number, since it is smaller than the sum of its proper divisors (27791392).

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

20354048 is a wasteful number, since it uses less digits than its factorization.

20354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 20354048 is about 4511.5460764576. The cubic root of 20354048 is about 273.0341256253.

The spelling of 20354048 in words is "twenty million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 139 143 176 208 256 278 286 352 416 512 556 572 704 832 1024 1112 1144 1408 1529 1664 1807 2224 2288 2816 3058 3328 3614 4448 4576 5632 6116 6656 7228 8896 9152 11264 12232 13312 14456 17792 18304 19877 24464 28912 35584 36608 39754 48928 57824 71168 73216 79508 97856 115648 142336 146432 159016 195712 231296 318032 391424 462592 636064 782848 925184 1272128 1565696 1850368 2544256 5088512 10177024 20354048