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121534164 = 22325935693
BaseRepresentation
bin1110011111001…
…11011011010100
322110200120112100
413033213123110
5222103043124
620020522100
73004011003
oct717473324
9273616470
10121534164
116266a464
1234850330
131c24330b
14121d8c3a
15aa0a1c9
hex73e76d4

121534164 has 36 divisors (see below), whose sum is σ = 307783476. Its totient is φ = 40435968.

The previous prime is 121534121. The next prime is 121534169. The reversal of 121534164 is 461435121.

It is a happy number.

121534164 is a `hidden beast` number, since 121 + 534 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 79388100 = 6492^2 + 8910^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121534169) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18502 + ... + 24194.

It is an arithmetic number, because the mean of its divisors is an integer number (8549541).

Almost surely, 2121534164 is an apocalyptic number.

It is an amenable number.

121534164 is an abundant number, since it is smaller than the sum of its proper divisors (186249312).

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

121534164 is a wasteful number, since it uses less digits than its factorization.

121534164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6291 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121534164 is about 11024.2534441113. The cubic root of 121534164 is about 495.3355056350.

Adding to 121534164 its reverse (461435121), we get a palindrome (582969285).

The spelling of 121534164 in words is "one hundred twenty-one million, five hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 5693 7116 10674 11386 17079 21348 22772 34158 51237 68316 102474 204948 3375949 6751898 10127847 13503796 20255694 30383541 40511388 60767082 121534164