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20929392 = 24321173181
BaseRepresentation
bin100111111010…
…1101101110000
31110101022201200
41033311231300
520324220032
62024331200
7342616431
oct117655560
943338650
1020929392
11108a5620
127013b00
13444a473
142acb488
151c8647c
hex13f5b70

20929392 has 120 divisors (see below), whose sum is σ = 65131248. Its totient is φ = 6220800.

The previous prime is 20929373. The next prime is 20929409. The reversal of 20929392 is 29392902.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115542 + ... + 115722.

Almost surely, 220929392 is an apocalyptic number.

20929392 is a gapful number since it is divisible by the number (22) 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 20929392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32565624).

20929392 is an abundant number, since it is smaller than the sum of its proper divisors (44201856).

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

20929392 is a wasteful number, since it uses less digits than its factorization.

20929392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 20929392 is about 4574.8652439170. The cubic root of 20929392 is about 275.5828607274.

It can be divided in two parts, 20929 and 392, that added together give a triangular number (21321 = T206).

The spelling of 20929392 in words is "twenty million, nine hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 181 198 219 264 292 362 396 438 528 543 584 657 724 792 803 876 1086 1168 1314 1448 1584 1606 1629 1752 1991 2172 2409 2628 2896 3212 3258 3504 3982 4344 4818 5256 5973 6424 6516 7227 7964 8688 9636 10512 11946 12848 13032 13213 14454 15928 17919 19272 23892 26064 26426 28908 31856 35838 38544 39639 47784 52852 57816 71676 79278 95568 105704 115632 118917 143352 145343 158556 211408 237834 286704 290686 317112 436029 475668 581372 634224 872058 951336 1162744 1308087 1744116 1902672 2325488 2616174 3488232 5232348 6976464 10464696 20929392