Search a number
-
+
29998000 = 245353283
BaseRepresentation
bin111001001101…
…1101110110000
32002110001112001
41302123232300
530134414000
62550543344
7512656504
oct162335660
962401461
1029998000
1115a29a3a
12a067b54
1362a40c6
143dac304
15297846a
hex1c9bbb0

29998000 has 80 divisors (see below), whose sum is σ = 74164896. Its totient is φ = 11731200.

The previous prime is 29997991. The next prime is 29998057. The reversal of 29998000 is 89992.

It is a tau number, because it is divible by the number of its divisors (80).

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, 105859 + ... + 106141.

Almost surely, 229998000 is an apocalyptic number.

29998000 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 29998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37082448).

29998000 is an abundant number, since it is smaller than the sum of its proper divisors (44166896).

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

29998000 is a wasteful number, since it uses less digits than its factorization.

29998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 29998000 is about 5477.0429978228. The cubic root of 29998000 is about 310.7163454808.

The spelling of 29998000 in words is "twenty-nine million, nine hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 283 400 424 500 530 566 848 1000 1060 1132 1325 1415 2000 2120 2264 2650 2830 4240 4528 5300 5660 6625 7075 10600 11320 13250 14150 14999 21200 22640 26500 28300 29998 35375 53000 56600 59996 70750 74995 106000 113200 119992 141500 149990 239984 283000 299980 374975 566000 599960 749950 1199920 1499900 1874875 2999800 3749750 5999600 7499500 14999000 29998000