Search a number
-
+
20912160 = 2535192293
BaseRepresentation
bin100111111000…
…1100000100000
31110100110002110
41033301200200
520323142120
62024115320
7342515253
oct117614040
943313073
1020912160
1110893685
127005b40
134442679
142ac509a
151c812e0
hex13f1820

20912160 has 96 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 5280768.

The previous prime is 20912149. The next prime is 20912189. The reversal of 20912160 is 6121902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7974 + ... + 10266.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 220912160 is an apocalyptic number.

20912160 is a gapful number since it is divisible by the number (20) 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 20912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

20912160 is an abundant number, since it is smaller than the sum of its proper divisors (48458400).

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

20912160 is a wasteful number, since it uses less digits than its factorization.

20912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 20912160 is about 4572.9815219395. The cubic root of 20912160 is about 275.5072071878.

The spelling of 20912160 in words is "twenty million, nine hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 2293 3040 4560 4586 6879 9120 9172 11465 13758 18344 22930 27516 34395 36688 43567 45860 55032 68790 73376 87134 91720 110064 130701 137580 174268 183440 217835 220128 261402 275160 348536 366880 435670 522804 550320 653505 697072 871340 1045608 1100640 1307010 1394144 1742680 2091216 2614020 3485360 4182432 5228040 6970720 10456080 20912160