Search a number
-
+
29708220 = 2235618117
BaseRepresentation
bin111000101010…
…0111110111100
32001220100000110
41301110332330
530101130340
62540430020
7510341613
oct161247674
961810013
1029708220
1115851253
129b48310
136202239
143d3487a
15291c680
hex1c54fbc

29708220 has 48 divisors (see below), whose sum is σ = 84557088. Its totient is φ = 7791360.

The previous prime is 29708219. The next prime is 29708233. The reversal of 29708220 is 2280792.

29708220 = T280 + T281 + ... + T584.

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 15 ways as a sum of consecutive naturals, for example, 399 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (1761606).

Almost surely, 229708220 is an apocalyptic number.

29708220 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 29708220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278544).

29708220 is an abundant number, since it is smaller than the sum of its proper divisors (54848868).

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

29708220 is a wasteful number, since it uses less digits than its factorization.

29708220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 29708220 is about 5450.5247453800. The cubic root of 29708220 is about 309.7126021785.

The spelling of 29708220 in words is "twenty-nine million, seven hundred eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 8117 16234 24351 32468 40585 48702 81170 97404 121755 162340 243510 487020 495137 990274 1485411 1980548 2475685 2970822 4951370 5941644 7427055 9902740 14854110 29708220