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121580272 = 24113312087
BaseRepresentation
bin1110011111100…
…10101011110000
322110202220210001
413033302223300
5222111032042
620021515344
73004262302
oct717625360
9273686701
10121580272
11626a1070
1234872b54
131c25b2b8
141220b972
15aa18bb7
hex73f2af0

121580272 has 40 divisors (see below), whose sum is σ = 257876352. Its totient is φ = 55070400.

The previous prime is 121580257. The next prime is 121580281. The reversal of 121580272 is 272085121.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 121580272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57213 + ... + 59299.

Almost surely, 2121580272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121580272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128938176).

121580272 is an abundant number, since it is smaller than the sum of its proper divisors (136296080).

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

121580272 is a wasteful number, since it uses less digits than its factorization.

121580272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 121580272 is about 11026.3444531721. The cubic root of 121580272 is about 495.3981383442.

The spelling of 121580272 in words is "one hundred twenty-one million, five hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 331 662 1324 2087 2648 3641 4174 5296 7282 8348 14564 16696 22957 29128 33392 45914 58256 91828 183656 367312 690797 1381594 2763188 5526376 7598767 11052752 15197534 30395068 60790136 121580272