Search a number
-
+
121690080 = 25335171657
BaseRepresentation
bin1110100000011…
…01011111100000
322110222111102000
413100031133200
5222123040310
620024124000
73005230401
oct720153740
9273874360
10121690080
1162766616
1234906600
131c299285
14122399a8
15aa3b4c0
hex740d7e0

121690080 has 192 divisors, whose sum is σ = 451241280. Its totient is φ = 30523392.

The previous prime is 121690069. The next prime is 121690081. The reversal of 121690080 is 80096121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121690081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72612 + ... + 74268.

It is an arithmetic number, because the mean of its divisors is an integer number (2350215).

Almost surely, 2121690080 is an apocalyptic number.

121690080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225620640).

121690080 is an abundant number, since it is smaller than the sum of its proper divisors (329551200).

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

121690080 is a wasteful number, since it uses less digits than its factorization.

121690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121690080 is about 11031.3226768144. The cubic root of 121690080 is about 495.5472368478.

The spelling of 121690080 in words is "one hundred twenty-one million, six hundred ninety thousand, eighty".