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20904960 = 210351361
BaseRepresentation
bin100111110111…
…1110000000000
31110100002012210
41033233300000
520322424320
62024022120
7342455256
oct117576000
943302183
1020904960
111088922a
127001940
13443c2cb
142ac25d6
151c7e0e0
hex13efc00

20904960 has 88 divisors (see below), whose sum is σ = 66912336. Its totient is φ = 5570560.

The previous prime is 20904941. The next prime is 20904971. The reversal of 20904960 is 6940902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14680 + ... + 16040.

Almost surely, 220904960 is an apocalyptic number.

20904960 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 20904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456168).

20904960 is an abundant number, since it is smaller than the sum of its proper divisors (46007376).

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

20904960 is a wasteful number, since it uses less digits than its factorization.

20904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20904960 is about 4572.1942215965. The cubic root of 20904960 is about 275.4755847635.

The spelling of 20904960 in words is "twenty million, nine hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1361 1536 1920 2560 2722 3072 3840 4083 5120 5444 6805 7680 8166 10888 13610 15360 16332 20415 21776 27220 32664 40830 43552 54440 65328 81660 87104 108880 130656 163320 174208 217760 261312 326640 348416 435520 522624 653280 696832 871040 1045248 1306560 1393664 1742080 2090496 2613120 3484160 4180992 5226240 6968320 10452480 20904960