Search a number
-
+
121544040 = 23352294423
BaseRepresentation
bin1110011111010…
…01110101101000
322110201002002010
413033221311220
5222103402130
620021035520
73004051542
oct717516550
9273632063
10121544040
1162676922
1234855ba0
131c247967
14121dc692
15aa0d0b0
hex73e9d68

121544040 has 64 divisors (see below), whose sum is σ = 366307200. Its totient is φ = 32262912.

The previous prime is 121544023. The next prime is 121544041. The reversal of 121544040 is 40445121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121543998 and 121544016.

It is not an unprimeable number, because it can be changed into a prime (121544041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25269 + ... + 29691.

It is an arithmetic number, because the mean of its divisors is an integer number (5723550).

Almost surely, 2121544040 is an apocalyptic number.

121544040 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 121544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183153600).

121544040 is an abundant number, since it is smaller than the sum of its proper divisors (244763160).

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

121544040 is a wasteful number, since it uses less digits than its factorization.

121544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 121544040 is about 11024.7013564994. The cubic root of 121544040 is about 495.3489224411.

Adding to 121544040 its reverse (40445121), we get a palindrome (161989161).

The spelling of 121544040 in words is "one hundred twenty-one million, five hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2748 3435 4423 4580 5496 6870 8846 9160 13269 13740 17692 22115 26538 27480 35384 44230 53076 66345 88460 106152 132690 176920 265380 530760 1012867 2025734 3038601 4051468 5064335 6077202 8102936 10128670 12154404 15193005 20257340 24308808 30386010 40514680 60772020 121544040