Search a number
-
+
29478720 = 263530707
BaseRepresentation
bin111000001110…
…0111101000000
32001110200012110
41300130331000
530021304340
62531455320
7505364535
oct160347500
961420173
1029478720
1115704887
129a57540
13615193b
143cb4d8c
1528c4680
hex1c1cf40

29478720 has 56 divisors (see below), whose sum is σ = 93597984. Its totient is φ = 7860736.

The previous prime is 29478719. The next prime is 29478733. The reversal of 29478720 is 2787492.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14394 + ... + 16313.

Almost surely, 229478720 is an apocalyptic number.

29478720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29478720 is an abundant number, since it is smaller than the sum of its proper divisors (64119264).

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

29478720 is a wasteful number, since it uses less digits than its factorization.

29478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 29478720 is about 5429.4309094048. The cubic root of 29478720 is about 308.9130158068.

The spelling of 29478720 in words is "twenty-nine million, four hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 30707 61414 92121 122828 153535 184242 245656 307070 368484 460605 491312 614140 736968 921210 982624 1228280 1473936 1842420 1965248 2456560 2947872 3684840 4913120 5895744 7369680 9826240 14739360 29478720