Search a number
-
+
269143400 = 235211311909
BaseRepresentation
bin10000000010101…
…100110101101000
3200202102220100002
4100002230311220
51022400042100
642412402132
76445452431
oct2002546550
9622386302
10269143400
11128a19469
1276176348
13439b5c66
1427a60488
15189662d5
hex100acd68

269143400 has 48 divisors (see below), whose sum is σ = 631349100. Its totient is φ = 106695680.

The previous prime is 269143367. The next prime is 269143409. The reversal of 269143400 is 4341962.

It can be written as a sum of positive squares in 6 ways, for example, as 14485636 + 254657764 = 3806^2 + 15958^2 .

It is not an unprimeable number, because it can be changed into a prime (269143409) 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 11 ways as a sum of consecutive naturals, for example, 16646 + ... + 28554.

Almost surely, 2269143400 is an apocalyptic number.

269143400 is a gapful number since it is divisible by the number (20) 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 269143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315674550).

269143400 is an abundant number, since it is smaller than the sum of its proper divisors (362205700).

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

269143400 is a wasteful number, since it uses less digits than its factorization.

269143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 269143400 is about 16405.5905105546. The cubic root of 269143400 is about 645.6461685414.

The spelling of 269143400 in words is "two hundred sixty-nine million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 11909 22600 23818 47636 59545 95272 119090 238180 297725 476360 595450 1190900 1345717 2381800 2691434 5382868 6728585 10765736 13457170 26914340 33642925 53828680 67285850 134571700 269143400