Search a number
-
+
20333952 = 273219929
BaseRepresentation
bin100110110010…
…0010110000000
31102021001221100
41031210112000
520201141302
62003454400
7334556442
oct115442600
942231840
1020333952
1110529221
126987400
13429c432
1429b4492
151bb9d1c
hex1364580

20333952 has 96 divisors (see below), whose sum is σ = 61659000. Its totient is φ = 6414336.

The previous prime is 20333947. The next prime is 20333953. The reversal of 20333952 is 25933302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20333953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21424 + ... + 22352.

Almost surely, 220333952 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 20333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30829500).

20333952 is an abundant number, since it is smaller than the sum of its proper divisors (41325048).

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

20333952 is a wasteful number, since it uses less digits than its factorization.

20333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 20333952 is about 4509.3183520350. The cubic root of 20333952 is about 272.9442385005.

The spelling of 20333952 in words is "twenty million, three hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 929 1152 1216 1368 1824 1858 2432 2736 2787 3648 3716 5472 5574 7296 7432 8361 10944 11148 14864 16722 17651 21888 22296 29728 33444 35302 44592 52953 59456 66888 70604 89184 105906 118912 133776 141208 158859 178368 211812 267552 282416 317718 356736 423624 535104 564832 635436 847248 1070208 1129664 1270872 1694496 2259328 2541744 3388992 5083488 6777984 10166976 20333952