Search a number
-
+
246765640 = 235112983233
BaseRepresentation
bin11101011010101…
…01100001001000
3122012022222211011
432231111201020
51001133000030
640253013304
76054321232
oct1655254110
9565288734
10246765640
11117324750
126a784234
133c17c494
1424ab7252
15169e5b2a
hexeb55848

246765640 has 128 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 85227520.

The previous prime is 246765601. The next prime is 246765661. The reversal of 246765640 is 46567642.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 246765593 and 246765602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058964 + ... + 1059196.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2246765640 is an apocalyptic number.

246765640 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 246765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

246765640 is an abundant number, since it is smaller than the sum of its proper divisors (390088760).

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

246765640 is a wasteful number, since it uses less digits than its factorization.

246765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 246765640 is about 15708.7758912017. The cubic root of 246765640 is about 627.2320321629.

The spelling of 246765640 in words is "two hundred forty-six million, seven hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 83 88 110 116 145 166 220 232 233 290 319 332 415 440 466 580 638 664 830 913 932 1160 1165 1276 1595 1660 1826 1864 2330 2407 2552 2563 3190 3320 3652 4565 4660 4814 5126 6380 6757 7304 9130 9320 9628 10252 12035 12760 12815 13514 18260 19256 19339 20504 24070 25630 26477 27028 33785 36520 38678 48140 51260 52954 54056 67570 74327 77356 96280 96695 102520 105908 132385 135140 148654 154712 193390 211816 212729 264770 270280 297308 371635 386780 425458 529540 560831 594616 743270 773560 850916 1059080 1063645 1121662 1486540 1701832 2127290 2243324 2804155 2973080 4254580 4486648 5608310 6169141 8509160 11216620 12338282 22433240 24676564 30845705 49353128 61691410 123382820 246765640