Search a number
-
+
122027264 = 28835743
BaseRepresentation
bin1110100010111…
…11110100000000
322111121121221022
413101133310000
5222214333024
620035245012
73011133422
oct721376400
9274547838
10122027264
1162976987
1234a49768
131c3868a8
14122c6812
15aaa635e
hex745fd00

122027264 has 36 divisors (see below), whose sum is σ = 246555456. Its totient is φ = 60268032.

The previous prime is 122027263. The next prime is 122027287. The reversal of 122027264 is 462720221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122027263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18377 + ... + 24119.

Almost surely, 2122027264 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 122027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123277728).

122027264 is an abundant number, since it is smaller than the sum of its proper divisors (124528192).

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

122027264 is an frugal number, since it uses more digits than its factorization.

122027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 122027264 is about 11046.5951315326. The cubic root of 122027264 is about 496.0045091508.

Adding to 122027264 its reverse (462720221), we get a palindrome (584747485).

The spelling of 122027264 in words is "one hundred twenty-two million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 5312 5743 10624 11486 21248 22972 45944 91888 183776 367552 476669 735104 953338 1470208 1906676 3813352 7626704 15253408 30506816 61013632 122027264