Search a number
-
+
264896190 = 233513163463
BaseRepresentation
bin11111100100111…
…11111010111110
3200110110010021000
433302133322332
51020303134230
642141351130
76364403046
oct1762377276
9613403230
10264896190
11126588479
12748684a6
1342b59a10
1427276726
15183c7b60
hexfc9febe

264896190 has 128 divisors (see below), whose sum is σ = 767047680. Its totient is φ = 64665216.

The previous prime is 264896161. The next prime is 264896197. The reversal of 264896190 is 91698462.

It is a happy number.

264896190 is a `hidden beast` number, since 26 + 4 + 8 + 9 + 619 + 0 = 666.

It is a super-2 number, since 2×2648961902 = 140339982953032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264896197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571899 + ... + 572361.

It is an arithmetic number, because the mean of its divisors is an integer number (5992560).

Almost surely, 2264896190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264896190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383523840).

264896190 is an abundant number, since it is smaller than the sum of its proper divisors (502151490).

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

264896190 is a wasteful number, since it uses less digits than its factorization.

264896190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 264896190 is about 16275.6317849723. The cubic root of 264896190 is about 642.2319451897.

The spelling of 264896190 in words is "two hundred sixty-four million, eight hundred ninety-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 163 195 234 270 326 351 390 463 489 585 702 815 926 978 1170 1389 1467 1630 1755 2119 2315 2445 2778 2934 3510 4167 4238 4401 4630 4890 6019 6357 6945 7335 8334 8802 10595 12038 12501 12714 13890 14670 18057 19071 20835 21190 22005 25002 30095 31785 36114 38142 41670 44010 54171 57213 60190 62505 63570 75469 90285 95355 108342 114426 125010 150938 162513 180570 190710 226407 270855 286065 325026 377345 452814 541710 572130 679221 754690 812565 981097 1132035 1358442 1625130 1962194 2037663 2264070 2943291 3396105 4075326 4905485 5886582 6792210 8829873 9810970 10188315 14716455 17659746 20376630 26489619 29432910 44149365 52979238 88298730 132448095 264896190