Search a number
-
+
260233506 = 233133743233
BaseRepresentation
bin11111000001011…
…01100100100010
3200010200020021000
433200231210202
51013104433011
641453412430
76306643161
oct1740554442
9603606230
10260233506
11123993315
127319a116
1341bb6630
14267c13d8
1517ca6356
hexf82d922

260233506 has 128 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 75769344.

The previous prime is 260233471. The next prime is 260233513. The reversal of 260233506 is 605332062.

260233506 is a `hidden beast` number, since 2 + 602 + 3 + 3 + 50 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 260233506.

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 63 ways as a sum of consecutive naturals, for example, 1116766 + ... + 1116998.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2260233506 is an apocalyptic number.

260233506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 260233506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

260233506 is an abundant number, since it is smaller than the sum of its proper divisors (397063134).

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

260233506 is a wasteful number, since it uses less digits than its factorization.

260233506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 260233506 is about 16131.7545852892. The cubic root of 260233506 is about 638.4414436179.

Adding to 260233506 its reverse (605332062), we get a palindrome (865565568).

The spelling of 260233506 in words is "two hundred sixty million, two hundred thirty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 43 54 74 78 86 111 117 129 222 233 234 258 333 351 387 466 481 559 666 699 702 774 962 999 1118 1161 1398 1443 1591 1677 1998 2097 2322 2886 3029 3182 3354 4194 4329 4773 5031 6058 6291 8621 8658 9087 9546 10019 10062 12582 12987 14319 15093 17242 18174 20038 20683 25863 25974 27261 28638 30057 30186 41366 42957 51726 54522 60114 62049 77589 81783 85914 90171 112073 124098 130247 155178 163566 180342 186147 224146 232767 260494 270513 336219 370703 372294 390741 465534 541026 558441 672438 741406 781482 1008657 1112109 1116882 1172223 2017314 2224218 2344446 3025971 3336327 3516669 4819139 6051942 6672654 7033338 9638278 10008981 14457417 20017962 28914834 43372251 86744502 130116753 260233506