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268121430 = 23256614507
BaseRepresentation
bin11111111101100…
…11010101010110
3200200111222110100
433332303111112
51022114341210
642334434530
76433665063
oct1776632526
9620458410
10268121430
11128390665
1275962a46
1343718a45
1427875c6a
15188135c0
hexffb3556

268121430 has 48 divisors (see below), whose sum is σ = 698325264. Its totient is φ = 71375040.

The previous prime is 268121423. The next prime is 268121459. The reversal of 268121430 is 34121862.

It is a junction number, because it is equal to n+sod(n) for n = 268121394 and 268121403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57237 + ... + 61743.

It is an arithmetic number, because the mean of its divisors is an integer number (14548443).

Almost surely, 2268121430 is an apocalyptic number.

268121430 is an abundant number, since it is smaller than the sum of its proper divisors (430203834).

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

268121430 is a wasteful number, since it uses less digits than its factorization.

268121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268121430 is about 16374.4138826402. The cubic root of 268121430 is about 644.8279331896.

The spelling of 268121430 in words is "two hundred sixty-eight million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 661 1322 1983 3305 3966 4507 5949 6610 9014 9915 11898 13521 19830 22535 27042 29745 40563 45070 59490 67605 81126 135210 202815 405630 2979127 5958254 8937381 14895635 17874762 26812143 29791270 44686905 53624286 89373810 134060715 268121430