Search a number
-
+
29024970 = 23513193917
BaseRepresentation
bin110111010111…
…0001011001010
32000121121202220
41232232023022
524412244340
62514034510
7501464622
oct156561312
960547686
1029024970
1115424987
129878a36
136023250
143bd7882
152834ed0
hex1bae2ca

29024970 has 64 divisors (see below), whose sum is σ = 78986880. Its totient is φ = 6766848.

The previous prime is 29024953. The next prime is 29024977. The reversal of 29024970 is 7942092.

It is not an unprimeable number, because it can be changed into a prime (29024977) 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, 5452 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (1234170).

Almost surely, 229024970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29024970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39493440).

29024970 is an abundant number, since it is smaller than the sum of its proper divisors (49961910).

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

29024970 is a wasteful number, since it uses less digits than its factorization.

29024970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 29024970 is about 5387.4827145894. The cubic root of 29024970 is about 307.3198362966.

The spelling of 29024970 in words is "twenty-nine million, twenty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 3917 7410 7834 11751 19585 23502 39170 50921 58755 74423 101842 117510 148846 152763 223269 254605 305526 372115 446538 509210 744230 763815 967499 1116345 1527630 1934998 2232690 2902497 4837495 5804994 9674990 14512485 29024970