Search a number
-
+
29486840 = 23517103421
BaseRepresentation
bin111000001111…
…0111011111000
32001111002100012
41300132323320
530022034330
62532001052
7505430315
oct160367370
961432305
1029486840
111570a999
129a60188
136155546
143cb7d0c
1528c6c95
hex1c1eef8

29486840 has 64 divisors (see below), whose sum is σ = 71098560. Its totient is φ = 10967040.

The previous prime is 29486833. The next prime is 29486861. The reversal of 29486840 is 4868492.

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, 69830 + ... + 70250.

It is an arithmetic number, because the mean of its divisors is an integer number (1110915).

Almost surely, 229486840 is an apocalyptic number.

29486840 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 29486840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35549280).

29486840 is an abundant number, since it is smaller than the sum of its proper divisors (41611720).

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

29486840 is a wasteful number, since it uses less digits than its factorization.

29486840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 29486840 is about 5430.1786342624. The cubic root of 29486840 is about 308.9413768687.

The spelling of 29486840 in words is "twenty-nine million, four hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 412 421 515 680 824 842 1030 1684 1751 2060 2105 3368 3502 4120 4210 7004 7157 8420 8755 14008 14314 16840 17510 28628 35020 35785 43363 57256 70040 71570 86726 143140 173452 216815 286280 346904 433630 737171 867260 1474342 1734520 2948684 3685855 5897368 7371710 14743420 29486840