Search a number
-
+
1081301400 = 233552191171
BaseRepresentation
bin100000001110011…
…0101100110011000
32210100122210200000
41000130311212120
54203303121100
6255144013000
735536624134
oct10034654630
92710583600
101081301400
11505403823
12262161160
13143034a1a
14a38723c4
1564de0900
hex40735998

1081301400 has 288 divisors, whose sum is σ = 3967454400. Its totient is φ = 272937600.

The previous prime is 1081301383. The next prime is 1081301471. The reversal of 1081301400 is 41031801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 922815 + ... + 923985.

Almost surely, 21081301400 is an apocalyptic number.

1081301400 is a gapful number since it is divisible by the number (10) 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 1081301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983727200).

1081301400 is an abundant number, since it is smaller than the sum of its proper divisors (2886153000).

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

1081301400 is a wasteful number, since it uses less digits than its factorization.

1081301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1081301400 is about 32883.1476595535. The cubic root of 1081301400 is about 1026.3975067914.

The spelling of 1081301400 in words is "one billion, eighty-one million, three hundred one thousand, four hundred".