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20673432 = 23321321699
BaseRepresentation
bin100111011011…
…1001110011000
31102220022121200
41032313032120
520243022212
62015034200
7340502253
oct116671630
942808550
1020673432
111074028a
126b0b960
13438ab00
142a6209a
151c356dc
hex13b7398

20673432 has 72 divisors (see below), whose sum is σ = 60664500. Its totient is φ = 6357312.

The previous prime is 20673427. The next prime is 20673461. The reversal of 20673432 is 23437602.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 20673396 and 20673405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11319 + ... + 13017.

Almost surely, 220673432 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 20673432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332250).

20673432 is an abundant number, since it is smaller than the sum of its proper divisors (39991068).

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

20673432 is a wasteful number, since it uses less digits than its factorization.

20673432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 20673432 is about 4546.8045922384. The cubic root of 20673432 is about 274.4548185265.

The spelling of 20673432 in words is "twenty million, six hundred seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 1699 2028 3042 3398 4056 5097 6084 6796 10194 12168 13592 15291 20388 22087 30582 40776 44174 61164 66261 88348 122328 132522 176696 198783 265044 287131 397566 530088 574262 795132 861393 1148524 1590264 1722786 2297048 2584179 3445572 5168358 6891144 10336716 20673432