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20909120 = 265192181
BaseRepresentation
bin100111111000…
…0110001000000
31110100021220212
41033300301000
520323042440
62024053252
7342503351
oct117606100
943307825
1020909120
1110891371
127004228
13444117b
142ac3d28
151c80465
hex13f0c40

20909120 has 84 divisors (see below), whose sum is σ = 52838604. Its totient is φ = 7879680.

The previous prime is 20909117. The next prime is 20909173. The reversal of 20909120 is 2190902.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 18113536 = 1672^2 + 4256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115430 + ... + 115610.

It is an arithmetic number, because the mean of its divisors is an integer number (629031).

Almost surely, 220909120 is an apocalyptic number.

20909120 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 20909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26419302).

20909120 is an abundant number, since it is smaller than the sum of its proper divisors (31929484).

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

20909120 is a wasteful number, since it uses less digits than its factorization.

20909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 20909120 is about 4572.6491227734. The cubic root of 20909120 is about 275.4938563830.

The spelling of 20909120 in words is "twenty million, nine hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 181 190 304 320 361 362 380 608 722 724 760 905 1216 1444 1448 1520 1805 1810 2888 2896 3040 3439 3610 3620 5776 5792 6080 6878 7220 7240 11552 11584 13756 14440 14480 17195 23104 27512 28880 28960 34390 55024 57760 57920 65341 68780 110048 115520 130682 137560 220096 261364 275120 326705 522728 550240 653410 1045456 1100480 1306820 2090912 2613640 4181824 5227280 10454560 20909120