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20934720 = 263352423
BaseRepresentation
bin100111111011…
…1000001000000
31110101121001000
41033313001000
520324402340
62024412000
7342641112
oct117670100
943347030
1020934720
11108a9624
127017000
13444ca11
142acd3b2
151c87d30
hex13f7040

20934720 has 112 divisors (see below), whose sum is σ = 73883520. Its totient is φ = 5580288.

The previous prime is 20934709. The next prime is 20934731. The reversal of 20934720 is 2743902.

It is an interprime number because it is at equal distance from previous prime (20934709) and next prime (20934731).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7429 + ... + 9851.

Almost surely, 220934720 is an apocalyptic number.

20934720 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 20934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36941760).

20934720 is an abundant number, since it is smaller than the sum of its proper divisors (52948800).

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

20934720 is a wasteful number, since it uses less digits than its factorization.

20934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20934720 is about 4575.4475190958. The cubic root of 20934720 is about 275.6062438067.

The spelling of 20934720 in words is "twenty million, nine hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2423 2880 4320 4846 7269 8640 9692 12115 14538 19384 21807 24230 29076 36345 38768 43614 48460 58152 65421 72690 77536 87228 96920 109035 116304 130842 145380 155072 174456 193840 218070 232608 261684 290760 327105 348912 387680 436140 465216 523368 581520 654210 697824 775360 872280 1046736 1163040 1308420 1395648 1744560 2093472 2326080 2616840 3489120 4186944 5233680 6978240 10467360 20934720