Search a number
-
+
121630624 = 2523592801
BaseRepresentation
bin1110011111111…
…10111110100000
322110212110211221
413033332332200
5222114134444
620022544424
73004562143
oct717767640
9273773757
10121630624
1162725985
1234898114
131c2781ab
141222205a
15aa28a84
hex73fefa0

121630624 has 48 divisors (see below), whose sum is σ = 254197440. Its totient is φ = 57164800.

The previous prime is 121630603. The next prime is 121630627. The reversal of 121630624 is 426036121.

It is not an unprimeable number, because it can be changed into a prime (121630627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42024 + ... + 44824.

It is an arithmetic number, because the mean of its divisors is an integer number (5295780).

Almost surely, 2121630624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127098720).

121630624 is an abundant number, since it is smaller than the sum of its proper divisors (132566816).

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

121630624 is a wasteful number, since it uses less digits than its factorization.

121630624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 121630624 is about 11028.6274758013. The cubic root of 121630624 is about 495.4665179805.

Adding to 121630624 its reverse (426036121), we get a palindrome (547666745).

The spelling of 121630624 in words is "one hundred twenty-one million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 1357 1888 2714 2801 5428 5602 10856 11204 21712 22408 43424 44816 64423 89632 128846 165259 257692 330518 515384 661036 1030768 1322072 2061536 2644144 3800957 5288288 7601914 15203828 30407656 60815312 121630624