Search a number
-
+
122641064 = 23713168463
BaseRepresentation
bin1110100111101…
…01101010101000
322112202210220122
413103311222220
5222344003224
620100342412
73016301060
oct723655250
9275683818
10122641064
1163256057
12350a4a08
131c5400a0
14124063a0
15ab7815e
hex74f5aa8

122641064 has 32 divisors (see below), whose sum is σ = 283019520. Its totient is φ = 48517056.

The previous prime is 122641061. The next prime is 122641073. The reversal of 122641064 is 460146221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (122641061) 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, 83504 + ... + 84959.

It is an arithmetic number, because the mean of its divisors is an integer number (8844360).

Almost surely, 2122641064 is an apocalyptic number.

122641064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122641064 is an abundant number, since it is smaller than the sum of its proper divisors (160378456).

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

122641064 is a wasteful number, since it uses less digits than its factorization.

122641064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168489 (or 168485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 122641064 is about 11074.3425989988. The cubic root of 122641064 is about 496.8347567528.

Adding to 122641064 its reverse (460146221), we get a palindrome (582787285).

The spelling of 122641064 in words is "one hundred twenty-two million, six hundred forty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 168463 336926 673852 1179241 1347704 2190019 2358482 4380038 4716964 8760076 9433928 15330133 17520152 30660266 61320532 122641064