Search a number
-
+
20429280 = 253354729
BaseRepresentation
bin100110111101…
…1100111100000
31102102220201000
41031323213200
520212214110
62005512000
7335434404
oct115734740
942386630
1020429280
1110593903
126a12600
134303941
1429db104
151bd81c0
hex137b9e0

20429280 has 96 divisors (see below), whose sum is σ = 71517600. Its totient is φ = 5446656.

The previous prime is 20429273. The next prime is 20429309. The reversal of 20429280 is 8292402.

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

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

It is a congruent number.

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, 1956 + ... + 6684.

It is an arithmetic number, because the mean of its divisors is an integer number (744975).

Almost surely, 220429280 is an apocalyptic number.

20429280 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 20429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35758800).

20429280 is an abundant number, since it is smaller than the sum of its proper divisors (51088320).

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

20429280 is a wasteful number, since it uses less digits than its factorization.

20429280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20429280 is about 4519.8761044967. The cubic root of 20429280 is about 273.3701054368.

The spelling of 20429280 in words is "twenty million, four hundred twenty-nine thousand, two hundred eighty".

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 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 4729 9458 14187 18916 23645 28374 37832 42561 47290 56748 70935 75664 85122 94580 113496 127683 141870 151328 170244 189160 212805 226992 255366 283740 340488 378320 425610 453984 510732 567480 638415 680976 756640 851220 1021464 1134960 1276830 1361952 1702440 2042928 2269920 2553660 3404880 4085856 5107320 6809760 10214640 20429280