Search a number
-
+
1218869904 = 243723173229
BaseRepresentation
bin100100010100110…
…0111101010010000
310010221112000011210
41020221213222100
54444012314104
6320540340120
742130136400
oct11051475220
93127460153
101218869904
11576024aaa
122a0244640
131656a03c5
14b7c42800
1572016989
hex48a67a90

1218869904 has 240 divisors, whose sum is σ = 3849515520. Its totient is φ = 330946560.

The previous prime is 1218869903. The next prime is 1218869909. The reversal of 1218869904 is 4099688121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1218869903) 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 47 ways as a sum of consecutive naturals, for example, 5322462 + ... + 5322690.

It is an arithmetic number, because the mean of its divisors is an integer number (16039648).

Almost surely, 21218869904 is an apocalyptic number.

1218869904 is a gapful number since it is divisible by the number (14) 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 1218869904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924757760).

1218869904 is an abundant number, since it is smaller than the sum of its proper divisors (2630645616).

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

1218869904 is a wasteful number, since it uses less digits than its factorization.

1218869904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 1218869904 is about 34912.3173679434. The cubic root of 1218869904 is about 1068.1996989419.

The spelling of 1218869904 in words is "one billion, two hundred eighteen million, eight hundred sixty-nine thousand, nine hundred four".