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121620465 = 32517158981
BaseRepresentation
bin1110011111111…
…00011111110001
322110211221220200
413033330133301
5222113323330
620022425413
73004520421
oct717743761
9273757820
10121620465
116271928a
1234892269
131c273695
141221c481
15aa25a60
hex73fc7f1

121620465 has 24 divisors (see below), whose sum is σ = 223210728. Its totient is φ = 61048320.

The previous prime is 121620449. The next prime is 121620467. The reversal of 121620465 is 564026121.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 106316721 = 3912^2 + 10311^2 .

It is not a de Polignac number, because 121620465 - 24 = 121620449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121620467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78726 + ... + 80255.

It is an arithmetic number, because the mean of its divisors is an integer number (9300447).

Almost surely, 2121620465 is an apocalyptic number.

121620465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121620465 is a deficient number, since it is larger than the sum of its proper divisors (101590263).

121620465 is a wasteful number, since it uses less digits than its factorization.

121620465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159009 (or 159006 counting only the distinct ones).

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

The square root of 121620465 is about 11028.1668920995. The cubic root of 121620465 is about 495.4527232515.

Adding to 121620465 its reverse (564026121), we get a palindrome (685646586).

The spelling of 121620465 in words is "one hundred twenty-one million, six hundred twenty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 158981 476943 794905 1430829 2384715 2702677 7154145 8108031 13513385 24324093 40540155 121620465