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268470 = 232519157
BaseRepresentation
bin1000001100010110110
3111122021100
41001202312
532042340
65430530
72165466
oct1014266
9448240
10268470
11173784
1210b446
1395277
146dba6
1554830
hex418b6

268470 has 48 divisors (see below), whose sum is σ = 739440. Its totient is φ = 67392.

The previous prime is 268459. The next prime is 268487. The reversal of 268470 is 74862.

It is a super-2 number, since 2×2684702 = 144152281800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

268470 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (15405).

2268470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369720).

268470 is an abundant number, since it is smaller than the sum of its proper divisors (470970).

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

268470 is a wasteful number, since it uses less digits than its factorization.

268470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 268470 is about 518.1409074759. The cubic root of 268470 is about 64.5107247355.

The spelling of 268470 in words is "two hundred sixty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 157 171 190 285 314 342 471 570 785 855 942 1413 1570 1710 2355 2826 2983 4710 5966 7065 8949 14130 14915 17898 26847 29830 44745 53694 89490 134235 268470