Search a number
-
+
123631664 = 24132332551
BaseRepresentation
bin1110101111001…
…11100000110000
322121122010202112
413113213200300
5223122203124
620133504452
73030565112
oct727474060
9277563675
10123631664
1163872332
12354a2128
131c7c8c40
14125c33b2
15acc190e
hex75e7830

123631664 has 40 divisors (see below), whose sum is σ = 259170912. Its totient is φ = 56793600.

The previous prime is 123631637. The next prime is 123631699. The reversal of 123631664 is 466136321.

It is a self number, because there is not a number n which added to its sum of digits gives 123631664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47189 + ... + 49739.

Almost surely, 2123631664 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 123631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129585456).

123631664 is an abundant number, since it is smaller than the sum of its proper divisors (135539248).

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

123631664 is a wasteful number, since it uses less digits than its factorization.

123631664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2799 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 123631664 is about 11118.9776508454. The cubic root of 123631664 is about 498.1688539953.

Adding to 123631664 its reverse (466136321), we get a palindrome (589767985).

The spelling of 123631664 in words is "one hundred twenty-three million, six hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 466 932 1864 2551 3029 3728 5102 6058 10204 12116 20408 24232 33163 40816 48464 66326 132652 265304 530608 594383 1188766 2377532 4755064 7726979 9510128 15453958 30907916 61815832 123631664