Search a number
-
+
122398640 = 245713172343
BaseRepresentation
bin1110100101110…
…10011110110000
322112022111100222
413102322132300
5222313224030
620051232212
73014241230
oct722723660
9275274328
10122398640
11630aaa01
1234ba8668
131c486940
1412381cc0
15ab2b3e5
hex74ba7b0

122398640 has 320 divisors, whose sum is σ = 395974656. Its totient is φ = 34062336.

The previous prime is 122398621. The next prime is 122398643. The reversal of 122398640 is 46893221.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 122398640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122398643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2846459 + ... + 2846501.

Almost surely, 2122398640 is an apocalyptic number.

122398640 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 122398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

122398640 is an abundant number, since it is smaller than the sum of its proper divisors (273576016).

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

122398640 is a wasteful number, since it uses less digits than its factorization.

122398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 122398640 is about 11063.3918849510. The cubic root of 122398640 is about 496.5071771934.

The spelling of 122398640 in words is "one hundred twenty-two million, three hundred ninety-eight thousand, six hundred forty".