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262813068 = 223272383389
BaseRepresentation
bin11111010101000…
…11010110001100
3200022112021202100
433222203112030
51014240004233
642024555100
76340605600
oct1752432614
9608467670
10262813068
11125395391
1274022a90
13425aa7bb
1426c93500
1518115813
hexfaa358c

262813068 has 108 divisors (see below), whose sum is σ = 776805120. Its totient is φ = 74700864.

The previous prime is 262813063. The next prime is 262813069. The reversal of 262813068 is 860318262.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (262813063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 675418 + ... + 675806.

It is an arithmetic number, because the mean of its divisors is an integer number (7192640).

Almost surely, 2262813068 is an apocalyptic number.

262813068 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 262813068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388402560).

262813068 is an abundant number, since it is smaller than the sum of its proper divisors (513992052).

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

262813068 is a wasteful number, since it uses less digits than its factorization.

262813068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 262813068 is about 16211.5103553000. The cubic root of 262813068 is about 640.5440263565.

The spelling of 262813068 in words is "two hundred sixty-two million, eight hundred thirteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 383 389 441 588 766 778 882 1149 1167 1532 1556 1764 2298 2334 2681 2723 3447 3501 4596 4668 5362 5446 6894 7002 8043 8169 10724 10892 13788 14004 16086 16338 18767 19061 24129 24507 32172 32676 37534 38122 48258 49014 56301 57183 75068 76244 96516 98028 112602 114366 148987 168903 171549 225204 228732 297974 337806 343098 446961 595948 675612 686196 893922 1042909 1340883 1787844 2085818 2681766 3128727 4171636 5363532 6257454 7300363 9386181 12514908 14600726 18772362 21901089 29201452 37544724 43802178 65703267 87604356 131406534 262813068