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275666040 = 2332513223197
BaseRepresentation
bin10000011011100…
…101010001111000
3201012201021201100
4100123211101320
51031032303130
643204251400
76555060036
oct2033452170
9635637640
10275666040
11131673a81
12783a0b60
134515ab00
142887b556
1519303c60
hex106e5478

275666040 has 288 divisors, whose sum is σ = 1017450720. Its totient is φ = 64576512.

The previous prime is 275665993. The next prime is 275666047. The reversal of 275666040 is 40666572.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 275665986 and 275666004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275666047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1399222 + ... + 1399418.

It is an arithmetic number, because the mean of its divisors is an integer number (3532815).

Almost surely, 2275666040 is an apocalyptic number.

275666040 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 275666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508725360).

275666040 is an abundant number, since it is smaller than the sum of its proper divisors (741784680).

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

275666040 is a wasteful number, since it uses less digits than its factorization.

275666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 275666040 is about 16603.1936686892. The cubic root of 275666040 is about 650.8202976851.

The spelling of 275666040 in words is "two hundred seventy-five million, six hundred sixty-six thousand, forty".