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1089142740 = 223357172997
BaseRepresentation
bin100000011101010…
…1111111111010100
32210220102011222000
41000322233333110
54212310031430
6300024035300
735663363160
oct10072577724
92726364860
101089142740
1150987a074
12264902b30
1314484bb7a
14a4913ca0
156593de60
hex40eaffd4

1089142740 has 288 divisors, whose sum is σ = 4117827840. Its totient is φ = 234067968.

The previous prime is 1089142697. The next prime is 1089142753. The reversal of 1089142740 is 472419801.

1089142740 is a `hidden beast` number, since 108 + 91 + 427 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1089142695 and 1089142704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091922 + ... + 1092918.

Almost surely, 21089142740 is an apocalyptic number.

1089142740 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 1089142740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058913920).

1089142740 is an abundant number, since it is smaller than the sum of its proper divisors (3028685100).

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

1089142740 is a wasteful number, since it uses less digits than its factorization.

1089142740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1089142740 is about 33002.1626564078. The cubic root of 1089142740 is about 1028.8725968284.

The spelling of 1089142740 in words is "one billion, eighty-nine million, one hundred forty-two thousand, seven hundred forty".