Search a number
-
+
29410668 = 2233738903
BaseRepresentation
bin111000000110…
…0010101101100
32001100012212000
41300030111230
530012120133
62530212300
7504662250
oct160142554
961305760
1029410668
1115668741
129a24090
136129981
143c98260
1528ae413
hex1c0c56c

29410668 has 48 divisors (see below), whose sum is σ = 87144960. Its totient is φ = 8402832.

The previous prime is 29410643. The next prime is 29410681. The reversal of 29410668 is 86601492.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 18696 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (1815520).

Almost surely, 229410668 is an apocalyptic number.

29410668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29410668 is an abundant number, since it is smaller than the sum of its proper divisors (57734292).

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

29410668 is a wasteful number, since it uses less digits than its factorization.

29410668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38923 (or 38915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29410668 is about 5423.1603332374. The cubic root of 29410668 is about 308.6751227779.

The spelling of 29410668 in words is "twenty-nine million, four hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 38903 77806 116709 155612 233418 272321 350127 466836 544642 700254 816963 1050381 1089284 1400508 1633926 2100762 2450889 3267852 4201524 4901778 7352667 9803556 14705334 29410668