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268278100 = 225219141199
BaseRepresentation
bin11111111110110…
…01100101010100
3200200210221100221
433333121211110
51022134344400
642342044124
76435216616
oct1777314524
9620727327
10268278100
11128488342
1275a19644
134377214c
14278b6db6
1518844c1a
hexffd9954

268278100 has 36 divisors (see below), whose sum is σ = 612808000. Its totient is φ = 101662560.

The previous prime is 268278097. The next prime is 268278107. The reversal of 268278100 is 1872862.

It is a super-2 number, since 2×2682781002 = 143946277879220000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268278107) 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, 68700 + ... + 72499.

Almost surely, 2268278100 is an apocalyptic number.

268278100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268278100 is an abundant number, since it is smaller than the sum of its proper divisors (344529900).

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

268278100 is a wasteful number, since it uses less digits than its factorization.

268278100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141232 (or 141225 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 268278100 is about 16379.1971720228. The cubic root of 268278100 is about 644.9535050514.

The spelling of 268278100 in words is "two hundred sixty-eight million, two hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 141199 282398 564796 705995 1411990 2682781 2823980 3529975 5365562 7059950 10731124 13413905 14119900 26827810 53655620 67069525 134139050 268278100