Search a number
-
+
278068140 = 223457231113
BaseRepresentation
bin10000100100101…
…111101110101100
3201101020022210000
4100210233232230
51032141140030
643331544300
76614353200
oct2044575654
9641208700
10278068140
11132a64789
127915b090
13457bc27c
1428d04b00
151962a860
hex1092fbac

278068140 has 360 divisors, whose sum is σ = 1056730752. Its totient is φ = 60963840.

The previous prime is 278068139. The next prime is 278068181. The reversal of 278068140 is 41860872.

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 = 278068095 and 278068104.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2460724 + ... + 2460836.

Almost surely, 2278068140 is an apocalyptic number.

278068140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278068140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528365376).

278068140 is an abundant number, since it is smaller than the sum of its proper divisors (778662612).

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

278068140 is a wasteful number, since it uses less digits than its factorization.

278068140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 278068140 is about 16675.3752581464. The cubic root of 278068140 is about 652.7052069592.

The spelling of 278068140 in words is "two hundred seventy-eight million, sixty-eight thousand, one hundred forty".