Search a number
-
+
169347072 = 211343641
BaseRepresentation
bin10100001100000…
…00100000000000
3102210122201111210
422012000200000
5321323101242
624445410120
74124266146
oct1206004000
9383581453
10169347072
1187656a64
1248869940
132911408b
14186c3596
15ed01d9c
hexa180800

169347072 has 96 divisors (see below), whose sum is σ = 462702240. Its totient is φ = 55050240.

The previous prime is 169347071. The next prime is 169347077. The reversal of 169347072 is 270743961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 169347072.

It is not an unprimeable number, because it can be changed into a prime (169347071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263872 + ... + 264512.

It is an arithmetic number, because the mean of its divisors is an integer number (4819815).

Almost surely, 2169347072 is an apocalyptic number.

169347072 is a gapful number since it is divisible by the number (12) 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 169347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231351120).

169347072 is an abundant number, since it is smaller than the sum of its proper divisors (293355168).

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

169347072 is an equidigital number, since it uses as much as digits as its factorization.

169347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 169347072 is about 13013.3420764998. The cubic root of 169347072 is about 553.2557004681.

The spelling of 169347072 in words is "one hundred sixty-nine million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 641 688 768 1024 1032 1282 1376 1536 1923 2048 2064 2564 2752 3072 3846 4128 5128 5504 6144 7692 8256 10256 11008 15384 16512 20512 22016 27563 30768 33024 41024 44032 55126 61536 66048 82048 82689 88064 110252 123072 132096 164096 165378 220504 246144 264192 328192 330756 441008 492288 656384 661512 882016 984576 1312768 1323024 1764032 1969152 2646048 3528064 3938304 5292096 7056128 10584192 14112256 21168384 28224512 42336768 56449024 84673536 169347072