Search a number
-
+
69319296 = 2732193167
BaseRepresentation
bin1000010000110…
…11101010000000
311211102210012100
410020123222000
5120221204141
610513430400
71501130034
oct410335200
9154383170
1069319296
1136146682
121b26b400
1311490a47
1492c61c4
1561440b6
hex421ba80

69319296 has 96 divisors (see below), whose sum is σ = 210038400. Its totient is φ = 21883392.

The previous prime is 69319291. The next prime is 69319301. The reversal of 69319296 is 69291396.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69319291) and next prime (69319301).

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

It is a super-3 number, since 3×693192963 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69319291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20305 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 269319296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

69319296 is an abundant number, since it is smaller than the sum of its proper divisors (140719104).

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

69319296 is a wasteful number, since it uses less digits than its factorization.

69319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 69319296 is about 8325.8210405941. The cubic root of 69319296 is about 410.7882831649.

The spelling of 69319296 in words is "sixty-nine million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3167 3648 5472 6334 7296 9501 10944 12668 19002 21888 25336 28503 38004 50672 57006 60173 76008 101344 114012 120346 152016 180519 202688 228024 240692 304032 361038 405376 456048 481384 541557 608064 722076 912096 962768 1083114 1216128 1444152 1824192 1925536 2166228 2888304 3648384 3851072 4332456 5776608 7702144 8664912 11553216 17329824 23106432 34659648 69319296