Search a number
-
+
20952672 = 25313103163
BaseRepresentation
bin100111111101…
…1011001100000
31110102111122220
41033323121200
520330441142
62025031040
7343044336
oct117733140
943374586
1020952672
1110911064
127025480
134457c40
142ad5b56
151c8d2ec
hex13fb660

20952672 has 96 divisors (see below), whose sum is σ = 60173568. Its totient is φ = 6345216.

The previous prime is 20952671. The next prime is 20952677. The reversal of 20952672 is 27625902.

It is a happy number.

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 (20952671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128463 + ... + 128625.

It is an arithmetic number, because the mean of its divisors is an integer number (626808).

Almost surely, 220952672 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 20952672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086784).

20952672 is an abundant number, since it is smaller than the sum of its proper divisors (39220896).

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

20952672 is a wasteful number, since it uses less digits than its factorization.

20952672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20952672 is about 4577.4088740247. The cubic root of 20952672 is about 275.6850008463.

The spelling of 20952672 in words is "twenty million, nine hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 163 206 208 309 312 326 412 416 489 618 624 652 824 978 1236 1248 1304 1339 1648 1956 2119 2472 2608 2678 3296 3912 4017 4238 4944 5216 5356 6357 7824 8034 8476 9888 10712 12714 15648 16068 16789 16952 21424 25428 32136 33578 33904 42848 50367 50856 64272 67156 67808 100734 101712 128544 134312 201468 203424 218257 268624 402936 436514 537248 654771 805872 873028 1309542 1611744 1746056 2619084 3492112 5238168 6984224 10476336 20952672