Search a number
-
+
120620632 = 23118915401
BaseRepresentation
bin1110011000010…
…00011001011000
322101222011101211
413030020121120
5221334330012
615545152504
72663154436
oct714103130
9271864354
10120620632
11620a6080
123448b734
131bcb3572
141203bd56
15a8c96a7
hex7308658

120620632 has 32 divisors (see below), whose sum is σ = 249512400. Its totient is φ = 54208000.

The previous prime is 120620609. The next prime is 120620639. The reversal of 120620632 is 236026021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120620639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 15532.

Almost surely, 2120620632 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 120620632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124756200).

120620632 is an abundant number, since it is smaller than the sum of its proper divisors (128891768).

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

120620632 is a wasteful number, since it uses less digits than its factorization.

120620632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15507 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 120620632 is about 10982.7424626092. The cubic root of 120620632 is about 494.0912920606.

Adding to 120620632 its reverse (236026021), we get a palindrome (356646653).

The spelling of 120620632 in words is "one hundred twenty million, six hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 7832 15401 30802 61604 123208 169411 338822 677644 1355288 1370689 2741378 5482756 10965512 15077579 30155158 60310316 120620632