Search a number
-
+
83128794 = 2373311303
BaseRepresentation
bin1001111010001…
…11000111011010
312210102101021020
410331013013122
5132240110134
612125423310
72026404000
oct475070732
9183371236
1083128794
1142a18991
1223a0ab36
13142b7548
14b07ca70
157470b49
hex4f471da

83128794 has 64 divisors (see below), whose sum is σ = 200294400. Its totient is φ = 22967280.

The previous prime is 83128783. The next prime is 83128807. The reversal of 83128794 is 49782138.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63147 + ... + 64449.

It is an arithmetic number, because the mean of its divisors is an integer number (3129600).

Almost surely, 283128794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83128794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100147200).

83128794 is an abundant number, since it is smaller than the sum of its proper divisors (117165606).

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

83128794 is a wasteful number, since it uses less digits than its factorization.

83128794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1346 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 83128794 is about 9117.4993282149. The cubic root of 83128794 is about 436.4325764578.

The spelling of 83128794 in words is "eighty-three million, one hundred twenty-eight thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1302 1303 1519 2058 2606 3038 3909 4557 7818 9114 9121 10633 18242 21266 27363 31899 40393 54726 63798 63847 80786 121179 127694 191541 242358 282751 383082 446929 565502 848253 893858 1340787 1696506 1979257 2681574 3958514 5937771 11875542 13854799 27709598 41564397 83128794