Search a number
-
+
122140256 = 2573714737
BaseRepresentation
bin1110100011110…
…11011001100000
322111211100221012
413101323121200
5222231442011
620041520052
73012114020
oct721733140
9274740835
10122140256
1162a43867
1234aa3028
131c3c6154
1412315a80
15aac9a8b
hex747b660

122140256 has 48 divisors (see below), whose sum is σ = 282262176. Its totient is φ = 50927616.

The previous prime is 122140247. The next prime is 122140259. The reversal of 122140256 is 652041221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140259) 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, 920 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (5880462).

Almost surely, 2122140256 is an apocalyptic number.

122140256 is a gapful number since it is divisible by the number (16) 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 122140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141131088).

122140256 is an abundant number, since it is smaller than the sum of its proper divisors (160121920).

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

122140256 is a wasteful number, since it uses less digits than its factorization.

122140256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 122140256 is about 11051.7082842428. The cubic root of 122140256 is about 496.1575548727.

Adding to 122140256 its reverse (652041221), we get a palindrome (774181477).

The spelling of 122140256 in words is "one hundred twenty-two million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 14737 29474 58948 103159 117896 206318 235792 412636 471584 545269 825272 1090538 1650544 2181076 3301088 3816883 4362152 7633766 8724304 15267532 17448608 30535064 61070128 122140256