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1132379136 = 2103375851
BaseRepresentation
bin100001101111110…
…1011110000000000
32220220202211011000
41003133223300000
54304342113021
6304210452000
740030030620
oct10337536000
92826684130
101132379136
11531220229
12277294000
131507a9835
14aa56a880
156962eb26
hex437ebc00

1132379136 has 176 divisors, whose sum is σ = 3833294080. Its totient is φ = 323481600.

The previous prime is 1132379113. The next prime is 1132379141. The reversal of 1132379136 is 6319732311.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1132379136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190611 + ... + 196461.

It is an arithmetic number, because the mean of its divisors is an integer number (21780080).

Almost surely, 21132379136 is an apocalyptic number.

1132379136 is a gapful number since it is divisible by the number (16) 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 1132379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916647040).

1132379136 is an abundant number, since it is smaller than the sum of its proper divisors (2700914944).

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

1132379136 is an equidigital number, since it uses as much as digits as its factorization.

1132379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5863 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 1132379136 is about 33650.8415347967. The cubic root of 1132379136 is about 1042.3109164860.

The spelling of 1132379136 in words is "one billion, one hundred thirty-two million, three hundred seventy-nine thousand, one hundred thirty-six".