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1131658136 = 23721012283
BaseRepresentation
bin100001101110011…
…1011101110011000
32220212102012010022
41003130323232120
54304201030021
6304143210012
740020635600
oct10334735630
92825365108
101131658136
11530878564
12276ba6908
131505b65cb
14aa41dc00
156953b1ab
hex4373bb98

1131658136 has 72 divisors (see below), whose sum is σ = 2501774460. Its totient is φ = 478497600.

The previous prime is 1131658127. The next prime is 1131658141. The reversal of 1131658136 is 6318561311.

It is a junction number, because it is equal to n+sod(n) for n = 1131658096 and 1131658105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3998651 + ... + 3998933.

Almost surely, 21131658136 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 1131658136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250887230).

1131658136 is an abundant number, since it is smaller than the sum of its proper divisors (1370116324).

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

1131658136 is a wasteful number, since it uses less digits than its factorization.

1131658136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 393 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 1131658136 is about 33640.1268725313. The cubic root of 1131658136 is about 1042.0896520404.

The spelling of 1131658136 in words is "one billion, one hundred thirty-one million, six hundred fifty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 283 392 404 566 707 808 1132 1414 1981 2264 2828 3962 4949 5656 7924 9898 10201 13867 15848 19796 20402 27734 28583 39592 40804 55468 57166 71407 81608 110936 114332 142814 200081 228664 285628 400162 499849 571256 800324 999698 1400567 1600648 1999396 2801134 2886883 3998792 5602268 5773766 11204536 11547532 20208181 23095064 40416362 80832724 141457267 161665448 282914534 565829068 1131658136