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269874072 = 23331327393
BaseRepresentation
bin10000000101011…
…111001110011000
3200210211000122000
4100011133032120
51023041432242
642440201000
76454614606
oct2005371630
9623730560
10269874072
11129378426
1276469160
1343bb0700
1427bb0876
1518a5ca4c
hex1015f398

269874072 has 96 divisors (see below), whose sum is σ = 811861200. Its totient is φ = 83026944.

The previous prime is 269874071. The next prime is 269874089. The reversal of 269874072 is 270478962.

It is a super-2 number, since 2×2698740722 = 145664029475722368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269874071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32808 + ... + 40200.

Almost surely, 2269874072 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 269874072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405930600).

269874072 is an abundant number, since it is smaller than the sum of its proper divisors (541987128).

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

269874072 is a wasteful number, since it uses less digits than its factorization.

269874072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 269874072 is about 16427.8444112428. The cubic root of 269874072 is about 646.2299085498.

The spelling of 269874072 in words is "two hundred sixty-nine million, eight hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 7393 9126 12168 14786 18252 22179 29572 36504 44358 59144 66537 88716 96109 133074 177432 192218 199611 266148 288327 384436 399222 532296 576654 768872 798444 864981 1153308 1249417 1596888 1729962 2306616 2498834 2594943 3459924 3748251 4997668 5189886 6919848 7496502 9995336 10379772 11244753 14993004 20759544 22489506 29986008 33734259 44979012 67468518 89958024 134937036 269874072