Search a number
-
+
29689704 = 233211191973
BaseRepresentation
bin111000101000…
…0011101101000
32001212101121200
41301100131220
530100032304
62540204200
7510233622
oct161203550
961771550
1029689704
1115839350
129b39660
1361c6995
143d2bc12
152916e39
hex1c50768

29689704 has 96 divisors (see below), whose sum is σ = 92383200. Its totient is φ = 8519040.

The previous prime is 29689703. The next prime is 29689717. The reversal of 29689704 is 40798692.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29689704.

It is not an unprimeable number, because it can be changed into a prime (29689703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14062 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (962325).

Almost surely, 229689704 is an apocalyptic number.

29689704 is a gapful number since it is divisible by the number (24) 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 29689704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46191600).

29689704 is an abundant number, since it is smaller than the sum of its proper divisors (62693496).

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

29689704 is a wasteful number, since it uses less digits than its factorization.

29689704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29689704 is about 5448.8259285831. The cubic root of 29689704 is about 309.6482447902.

It can be divided in two parts, 296 and 89704, that added together give a square (90000 = 3002).

The spelling of 29689704 in words is "twenty-nine million, six hundred eighty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 1973 2508 3762 3946 5016 5919 7524 7892 11838 15048 15784 17757 21703 23676 35514 37487 43406 47352 65109 71028 74974 86812 112461 130218 142056 149948 173624 195327 224922 260436 299896 337383 390654 412357 449844 520872 674766 781308 824714 899688 1237071 1349532 1562616 1649428 2474142 2699064 3298856 3711213 4948284 7422426 9896568 14844852 29689704