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20934480 = 2435717733
BaseRepresentation
bin100111111011…
…0111101010000
31110101120201010
41033312331100
520324400410
62024410520
7342640320
oct117667520
943346633
1020934480
11108a9426
127016a40
13444c888
142acd280
151c87c20
hex13f6f50

20934480 has 160 divisors (see below), whose sum is σ = 78637824. Its totient is φ = 4497408.

The previous prime is 20934469. The next prime is 20934481. The reversal of 20934480 is 8443902.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20934481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28194 + ... + 28926.

Almost surely, 220934480 is an apocalyptic number.

20934480 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 20934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39318912).

20934480 is an abundant number, since it is smaller than the sum of its proper divisors (57703344).

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

20934480 is a wasteful number, since it uses less digits than its factorization.

20934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20934480 is about 4575.4212920779. The cubic root of 20934480 is about 275.6051906002.

The spelling of 20934480 in words is "twenty million, nine hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 733 816 840 952 1020 1190 1360 1428 1466 1680 1785 1904 2040 2199 2380 2856 2932 3570 3665 4080 4398 4760 5131 5712 5864 7140 7330 8796 9520 10262 10995 11728 12461 14280 14660 15393 17592 20524 21990 24922 25655 28560 29320 30786 35184 37383 41048 43980 49844 51310 58640 61572 62305 74766 76965 82096 87227 87960 99688 102620 123144 124610 149532 153930 174454 175920 186915 199376 205240 246288 249220 261681 299064 307860 348908 373830 410480 436135 498440 523362 598128 615720 697816 747660 872270 996880 1046724 1231440 1308405 1395632 1495320 1744540 2093448 2616810 2990640 3489080 4186896 5233620 6978160 10467240 20934480