Search a number
-
+
121352064 = 273714451
BaseRepresentation
bin1110011101110…
…10111110000000
322110100022201220
413032322332000
5222031231224
620012555040
73002322051
oct716727600
9273308656
10121352064
1162555669
1234782a80
131c1ab472
141218c728
15a9c1279
hex73baf80

121352064 has 64 divisors (see below), whose sum is σ = 326954880. Its totient is φ = 39872000.

The previous prime is 121352039. The next prime is 121352111. The reversal of 121352064 is 460253121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25039 + ... + 29489.

It is an arithmetic number, because the mean of its divisors is an integer number (5108670).

Almost surely, 2121352064 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 121352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163477440).

121352064 is an abundant number, since it is smaller than the sum of its proper divisors (205602816).

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

121352064 is an equidigital number, since it uses as much as digits as its factorization.

121352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 121352064 is about 11015.9912853996. The cubic root of 121352064 is about 495.0879876240.

The spelling of 121352064 in words is "one hundred twenty-one million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4451 4544 6816 8902 9088 13353 13632 17804 26706 27264 35608 53412 71216 106824 142432 213648 284864 316021 427296 569728 632042 854592 948063 1264084 1709184 1896126 2528168 3792252 5056336 7584504 10112672 15169008 20225344 30338016 40450688 60676032 121352064