Search a number
-
+
121040640 = 2832571979
BaseRepresentation
bin1110011011011…
…10111100000000
322102202111112200
413031232330000
5221441300030
620002153200
72666554110
oct715567400
9272674480
10121040640
1162362696
1234652800
131c0cc7a6
141210b040
15a95dd60
hex736ef00

121040640 has 432 divisors, whose sum is σ = 510182400. Its totient is φ = 25878528.

The previous prime is 121040617. The next prime is 121040669. The reversal of 121040640 is 46040121.

121040640 is a `hidden beast` number, since 1 + 21 + 0 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532121 + ... + 1532199.

Almost surely, 2121040640 is an apocalyptic number.

121040640 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 121040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255091200).

121040640 is an abundant number, since it is smaller than the sum of its proper divisors (389141760).

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

121040640 is a wasteful number, since it uses less digits than its factorization.

121040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121040640 is about 11001.8471176435. The cubic root of 121040640 is about 494.6641125050.

Adding to 121040640 its reverse (46040121), we get a palindrome (167080761).

The spelling of 121040640 in words is "one hundred twenty-one million, forty thousand, six hundred forty".