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268018128 = 24327265891
BaseRepresentation
bin11111111100110…
…10000111010000
3200200022201202100
433332122013100
51022103040003
642332320400
76433054650
oct1776320720
9620281670
10268018128
1112831aa94
1275913100
13436b0a11
142784a360
15187e2ba3
hexff9a1d0

268018128 has 60 divisors (see below), whose sum is σ = 857235808. Its totient is φ = 76576320.

The previous prime is 268018117. The next prime is 268018147. The reversal of 268018128 is 821810862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268018092 and 268018101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131938 + ... + 133953.

Almost surely, 2268018128 is an apocalyptic number.

268018128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268018128 is an abundant number, since it is smaller than the sum of its proper divisors (589217680).

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

268018128 is a wasteful number, since it uses less digits than its factorization.

268018128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265912 (or 265903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 268018128 is about 16371.2592063042. The cubic root of 268018128 is about 644.7451093092.

The spelling of 268018128 in words is "two hundred sixty-eight million, eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 265891 531782 797673 1063564 1595346 1861237 2127128 2393019 3190692 3722474 4254256 4786038 5583711 6381384 7444948 9572076 11167422 12762768 14889896 16751133 19144152 22334844 29779792 33502266 38288304 44669688 67004532 89339376 134009064 268018128