Search a number
-
+
1213063488 = 263271323143
BaseRepresentation
bin100100001001101…
…1110000101000000
310010112121000021100
41020103132011000
54441021012423
6320212054400
742026604150
oct11023360500
93115530240
101213063488
1157281960a
1229a304400
13164419560
14b7170760
157176b343
hex484de140

1213063488 has 168 divisors, whose sum is σ = 4279603328. Its totient is φ = 319915008.

The previous prime is 1213063469. The next prime is 1213063519. The reversal of 1213063488 is 8843603121.

1213063488 is a `hidden beast` number, since 1 + 2 + 1 + 306 + 348 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12130634882 = 2943046051837452288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40845 + ... + 63987.

Almost surely, 21213063488 is an apocalyptic number.

1213063488 is a gapful number since it is divisible by the number (18) 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 1213063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139801664).

1213063488 is an abundant number, since it is smaller than the sum of its proper divisors (3066539840).

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

1213063488 is a wasteful number, since it uses less digits than its factorization.

1213063488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23181 (or 23168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1213063488 is about 34829.0609692538. The cubic root of 1213063488 is about 1066.5007790637.

The spelling of 1213063488 in words is "one billion, two hundred thirteen million, sixty-three thousand, four hundred eighty-eight".