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268397460 = 223251491097
BaseRepresentation
bin11111111111101…
…10101110010100
3200201001000002200
433333312232110
51022202204320
642344404500
76436224612
oct1777665624
9621030080
10268397460
11128559a91
1275a76730
13437b4586
14279086b2
151886a290
hexfff6b94

268397460 has 36 divisors (see below), whose sum is σ = 814139508. Its totient is φ = 71572608.

The previous prime is 268397453. The next prime is 268397461. The reversal of 268397460 is 64793862.

268397460 is a `hidden beast` number, since 26 + 83 + 97 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211877136 + 56520324 = 14556^2 + 7518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268397461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745369 + ... + 745728.

Almost surely, 2268397460 is an apocalyptic number.

268397460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268397460 is an abundant number, since it is smaller than the sum of its proper divisors (545742048).

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

268397460 is a wasteful number, since it uses less digits than its factorization.

268397460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491112 (or 1491107 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 268397460 is about 16382.8404130663. The cubic root of 268397460 is about 645.0491399374.

The spelling of 268397460 in words is "two hundred sixty-eight million, three hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1491097 2982194 4473291 5964388 7455485 8946582 13419873 14910970 17893164 22366455 26839746 29821940 44732910 53679492 67099365 89465820 134198730 268397460