Search a number
-
+
264700880 = 2451721072
BaseRepresentation
bin11111100011100…
…00001111010000
3200110002012100022
433301300033100
51020230412010
642133243012
76362630453
oct1761601720
9613065308
10264700880
11126464764
1274793468
1342abbb52
142722549a
1518389d55
hexfc703d0

264700880 has 90 divisors (see below), whose sum is σ = 659927814. Its totient is φ = 98720768.

The previous prime is 264700873. The next prime is 264700883. The reversal of 264700880 is 88007462.

264700880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 88661056 + 176039824 = 9416^2 + 13268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264700880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264700883) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2473787 + ... + 2473893.

Almost surely, 2264700880 is an apocalyptic number.

264700880 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 264700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329963907).

264700880 is an abundant number, since it is smaller than the sum of its proper divisors (395226934).

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

264700880 is a wasteful number, since it uses less digits than its factorization.

264700880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 264700880 is about 16269.6306042885. The cubic root of 264700880 is about 642.0740655290.

The spelling of 264700880 in words is "two hundred sixty-four million, seven hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 289 340 428 535 578 680 856 1070 1156 1360 1445 1712 1819 2140 2312 2890 3638 4280 4624 5780 7276 8560 9095 11449 11560 14552 18190 22898 23120 29104 30923 36380 45796 57245 61846 72760 91592 114490 123692 145520 154615 183184 194633 228980 247384 309230 389266 457960 494768 618460 778532 915920 973165 1236920 1557064 1946330 2473840 3114128 3308761 3892660 6617522 7785320 13235044 15570640 16543805 26470088 33087610 52940176 66175220 132350440 264700880