Search a number
-
+
269713152 = 283413007
BaseRepresentation
bin10000000100110…
…111111100000000
3200210111211220000
4100010313330000
51023021310102
642432520000
76453344502
oct2004677400
9623454800
10269713152
11129278535
12763b0000
1343b553a7
1427b6bd72
1518a2a01c
hex10137f00

269713152 has 90 divisors (see below), whose sum is σ = 804297648. Its totient is φ = 89897472.

The previous prime is 269713139. The next prime is 269713159. The reversal of 269713152 is 251317962.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269713159) 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 9 ways as a sum of consecutive naturals, for example, 14233 + ... + 27239.

Almost surely, 2269713152 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 269713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402148824).

269713152 is an abundant number, since it is smaller than the sum of its proper divisors (534584496).

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

269713152 is an equidigital number, since it uses as much as digits as its factorization.

269713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13012 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 269713152 is about 16422.9458989549. The cubic root of 269713152 is about 646.1014387637.

The spelling of 269713152 in words is "two hundred sixty-nine million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 13007 20736 26014 39021 52028 78042 104056 117063 156084 208112 234126 312168 351189 416224 468252 624336 702378 832448 936504 1053567 1248672 1404756 1664896 1873008 2107134 2497344 2809512 3329792 3746016 4214268 4994688 5619024 7492032 8428536 9989376 11238048 14984064 16857072 22476096 29968128 33714144 44952192 67428288 89904384 134856576 269713152