Search a number
-
+
20993024 = 210131983
BaseRepresentation
bin101000000010…
…1010000000000
31110111120000102
41100011100000
520333234044
62025541532
7343303103
oct120052000
943446012
1020993024
1110939408
1270448a8
134470410
142b0673a
151c9a24e
hex1405400

20993024 has 88 divisors (see below), whose sum is σ = 48145440. Its totient is φ = 9068544.

The previous prime is 20993017. The next prime is 20993033. The reversal of 20993024 is 42039902.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252887 + ... + 252969.

Almost surely, 220993024 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 20993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072720).

20993024 is an abundant number, since it is smaller than the sum of its proper divisors (27152416).

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

20993024 is a wasteful number, since it uses less digits than its factorization.

20993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 20993024 is about 4581.8144877330. The cubic root of 20993024 is about 275.8618646435.

The spelling of 20993024 in words is "twenty million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 83 104 128 152 166 208 247 256 304 332 416 494 512 608 664 832 988 1024 1079 1216 1328 1577 1664 1976 2158 2432 2656 3154 3328 3952 4316 4864 5312 6308 6656 7904 8632 9728 10624 12616 13312 15808 17264 19456 20501 21248 25232 31616 34528 41002 42496 50464 63232 69056 82004 84992 100928 126464 138112 164008 201856 252928 276224 328016 403712 552448 656032 807424 1104896 1312064 1614848 2624128 5248256 10496512 20993024