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260261148 = 223721133917
BaseRepresentation
bin11111000001101…
…00010100011100
3200010201122011210
433200310110130
51013111324043
641454144420
76310116600
oct1740642434
9603648153
10260261148
11123a02064
12731b2110
1341bc60a4
14267cb500
1517cae633
hexf83451c

260261148 has 72 divisors (see below), whose sum is σ = 712856592. Its totient is φ = 73683456.

The previous prime is 260261119. The next prime is 260261149. The reversal of 260261148 is 841162062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260261149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64486 + ... + 68402.

It is an arithmetic number, because the mean of its divisors is an integer number (9900786).

Almost surely, 2260261148 is an apocalyptic number.

260261148 is a gapful number since it is divisible by the number (28) 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 260261148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428296).

260261148 is an abundant number, since it is smaller than the sum of its proper divisors (452595444).

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

260261148 is a wasteful number, since it uses less digits than its factorization.

260261148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 260261148 is about 16132.6113199321. The cubic root of 260261148 is about 638.4640478985.

The spelling of 260261148 in words is "two hundred sixty million, two hundred sixty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 2373 3164 3917 4746 5537 7834 9492 11074 11751 15668 16611 22148 23502 27419 33222 47004 54838 66444 82257 109676 164514 191933 329028 383866 442621 575799 767732 885242 1151598 1327863 1770484 2303196 2655726 3098347 5311452 6196694 9295041 12393388 18590082 21688429 37180164 43376858 65065287 86753716 130130574 260261148