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2134132032 = 26333732983
BaseRepresentation
bin111111100110100…
…0100010101000000
312111201202010210010
41333031010111000
513332314211112
6551433504520
7103612552164
oct17715042500
95451663703
102134132032
119a5730a8a
124b6872140
132801ab826
14163612ca4
15c755a63c
hex7f344540

2134132032 has 56 divisors (see below), whose sum is σ = 5663484736. Its totient is φ = 709244928.

The previous prime is 2134132019. The next prime is 2134132051. The reversal of 2134132032 is 2302314312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48213 + ... + 81195.

It is an arithmetic number, because the mean of its divisors is an integer number (101133656).

Almost surely, 22134132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831742368).

2134132032 is an abundant number, since it is smaller than the sum of its proper divisors (3529352704).

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

2134132032 is a wasteful number, since it uses less digits than its factorization.

2134132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33335 (or 33325 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2134132032 is about 46196.6668927532. Note that the first 3 decimals coincide. The cubic root of 2134132032 is about 1287.4798125719.

Adding to 2134132032 its reverse (2302314312), we get a palindrome (4436446344).

The spelling of 2134132032 in words is "two billion, one hundred thirty-four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 337 674 1011 1348 2022 2696 4044 5392 8088 10784 16176 21568 32352 32983 64704 65966 98949 131932 197898 263864 395796 527728 791592 1055456 1583184 2110912 3166368 6332736 11115271 22230542 33345813 44461084 66691626 88922168 133383252 177844336 266766504 355688672 533533008 711377344 1067066016 2134132032