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268464021 = 3717971419
BaseRepresentation
bin10000000000000…
…110111110010101
3200201011101101220
4100000012332111
51022211322041
642350040553
76436622640
oct2000067625
9621141356
10268464021
111285a4aa1
1275aa9159
1343808967
1427924a57
151887ed66
hex10006f95

268464021 has 16 divisors (see below), whose sum is σ = 411379200. Its totient is φ = 152548848.

The previous prime is 268464019. The next prime is 268464037. The reversal of 268464021 is 120464862.

It is not a de Polignac number, because 268464021 - 21 = 268464019 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268464011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31951 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (25711200).

Almost surely, 2268464021 is an apocalyptic number.

268464021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268464021 is a deficient number, since it is larger than the sum of its proper divisors (142915179).

268464021 is a wasteful number, since it uses less digits than its factorization.

268464021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71608.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 268464021 is about 16384.8717114294. The cubic root of 268464021 is about 645.1024583345.

The spelling of 268464021 in words is "two hundred sixty-eight million, four hundred sixty-four thousand, twenty-one".

Divisors: 1 3 7 21 179 537 1253 3759 71419 214257 499933 1499799 12784001 38352003 89488007 268464021