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83091096 = 23341111657
BaseRepresentation
bin1001111001111…
…01111010011000
312210100110120000
410330331322120
5132232403341
612124533000
72026156044
oct474757230
9183313500
1083091096
11429a2630
12239b1160
13142a333a
14b06d024
1574648b6
hex4f3de98

83091096 has 80 divisors (see below), whose sum is σ = 253911240. Its totient is φ = 25176960.

The previous prime is 83091083. The next prime is 83091103. The reversal of 83091096 is 69019038.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83091096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1300 + ... + 12956.

Almost surely, 283091096 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 83091096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126955620).

83091096 is an abundant number, since it is smaller than the sum of its proper divisors (170820144).

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

83091096 is a wasteful number, since it uses less digits than its factorization.

83091096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 83091096 is about 9115.4317506084. The cubic root of 83091096 is about 436.3665940140.

The spelling of 83091096 in words is "eighty-three million, ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 11657 23314 34971 46628 69942 93256 104913 128227 139884 209826 256454 279768 314739 384681 419652 512908 629478 769362 839304 944217 1025816 1154043 1258956 1538724 1888434 2308086 2517912 3077448 3462129 3776868 4616172 6924258 7553736 9232344 10386387 13848516 20772774 27697032 41545548 83091096