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69145128 = 233213312383
BaseRepresentation
bin1000001111100…
…01001000101000
311211002221021200
410013301020220
5120200121003
610510004200
71466503203
oct407611050
9154087250
1069145128
1136037838
121b1a6660
131142c6a0
14927c93a
15610c6a3
hex41f1228

69145128 has 96 divisors (see below), whose sum is σ = 208266240. Its totient is φ = 20580480.

The previous prime is 69145121. The next prime is 69145129. The reversal of 69145128 is 82154196.

It is a super-2 number, since 2×691451282 = 9562097452272768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 69145092 and 69145101.

It is not an unprimeable number, because it can be changed into a prime (69145121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27825 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (2169440).

Almost surely, 269145128 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 69145128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104133120).

69145128 is an abundant number, since it is smaller than the sum of its proper divisors (139121112).

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

69145128 is a wasteful number, since it uses less digits than its factorization.

69145128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2432 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 69145128 is about 8315.3549533378. The cubic root of 69145128 is about 410.4439529775.

The spelling of 69145128 in words is "sixty-nine million, one hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2383 2418 3224 3627 4766 4836 7149 7254 9532 9672 14298 14508 19064 21447 28596 29016 30979 42894 57192 61958 73873 85788 92937 123916 147746 171576 185874 221619 247832 278811 295492 371748 443238 557622 590984 664857 743496 886476 960349 1115244 1329714 1772952 1920698 2230488 2659428 2881047 3841396 5318856 5762094 7682792 8643141 11524188 17286282 23048376 34572564 69145128