Search a number
-
+
122019534 = 2357133189
BaseRepresentation
bin1110100010111…
…01111011001110
322111121020100000
413101131323032
5222214111114
620035145130
73011102040
oct721357316
9274536300
10122019534
116297109a
1234a451a6
131c383210
14122c3a90
15aaa3e09
hex745dece

122019534 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 30792960.

The previous prime is 122019511. The next prime is 122019563. The reversal of 122019534 is 435910221.

122019534 is a `hidden beast` number, since 122 + 0 + 1 + 9 + 534 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122019498 and 122019507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1370962 + ... + 1371050.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2122019534 is an apocalyptic number.

122019534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122019534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

122019534 is an abundant number, since it is smaller than the sum of its proper divisors (230215986).

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

122019534 is a wasteful number, since it uses less digits than its factorization.

122019534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122019534 is about 11046.2452444258. The cubic root of 122019534 is about 495.9940355466.

Adding to 122019534 its reverse (435910221), we get a palindrome (557929755).

The spelling of 122019534 in words is "one hundred twenty-two million, nineteen thousand, five hundred thirty-four".