Search a number
-
+
121585376 = 2511345413
BaseRepresentation
bin1110011111100…
…11111011100000
322110210011210002
413033303323200
5222111213001
620021555132
73004313213
oct717637340
9273704702
10121585376
11626a4990
1234875aa8
131c260713
141220d77a
15aa1a46b
hex73f3ee0

121585376 has 24 divisors (see below), whose sum is σ = 261132984. Its totient is φ = 55265920.

The previous prime is 121585357. The next prime is 121585393. The reversal of 121585376 is 673585121.

It is a super-2 number, since 2×1215853762 = 29566007314122752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172355 + ... + 173058.

It is an arithmetic number, because the mean of its divisors is an integer number (10880541).

Almost surely, 2121585376 is an apocalyptic number.

121585376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121585376 is an abundant number, since it is smaller than the sum of its proper divisors (139547608).

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

121585376 is a wasteful number, since it uses less digits than its factorization.

121585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345434 (or 345426 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 121585376 is about 11026.5758964422. The cubic root of 121585376 is about 495.4050706003.

The spelling of 121585376 in words is "one hundred twenty-one million, five hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 345413 690826 1381652 2763304 3799543 5526608 7599086 11053216 15198172 30396344 60792688 121585376