Search a number
-
+
260214864 = 243713411453
BaseRepresentation
bin11111000001010…
…01000001010000
3200010122021200120
433200221001100
51013103333424
641453150240
76306534630
oct1740510120
9603567616
10260214864
11123980308
127318b380
1341baacc0
14267b86c0
1517ca0a79
hexf829050

260214864 has 160 divisors (see below), whose sum is σ = 848112384. Its totient is φ = 66908160.

The previous prime is 260214859. The next prime is 260214881. The reversal of 260214864 is 468412062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178362 + ... + 179814.

Almost surely, 2260214864 is an apocalyptic number.

260214864 is a gapful number since it is divisible by the number (24) 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 260214864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424056192).

260214864 is an abundant number, since it is smaller than the sum of its proper divisors (587897520).

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

260214864 is a wasteful number, since it uses less digits than its factorization.

260214864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 260214864 is about 16131.1767704653. The cubic root of 260214864 is about 638.4261981950.

The spelling of 260214864 in words is "two hundred sixty million, two hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1453 1456 1599 1722 1968 2132 2184 2296 2906 3198 3444 3731 4264 4359 4368 4592 5812 6396 6888 7462 8528 8718 10171 11193 11624 12792 13776 14924 17436 18889 20342 22386 23248 25584 29848 30513 34872 37778 40684 44772 56667 59573 59696 61026 69744 75556 81368 89544 113334 119146 122052 132223 151112 162736 178719 179088 226668 238292 244104 264446 302224 357438 396669 417011 453336 476584 488208 528892 714876 774449 793338 834022 906672 953168 1057784 1251033 1429752 1548898 1586676 1668044 2115568 2323347 2502066 2859504 3097796 3173352 3336088 4646694 5004132 5421143 6195592 6346704 6672176 9293388 10008264 10842286 12391184 16263429 18586776 20016528 21684572 32526858 37173552 43369144 65053716 86738288 130107432 260214864