Search a number
-
+
91016772 = 223711137719
BaseRepresentation
bin1010110110011…
…00111001000100
320100021010112120
411123030321010
5141300014042
613010445540
72153426010
oct533147104
9210233476
1091016772
1147416280
12265938b0
1315b199a2
14c133540
157eccdec
hex56cce44

91016772 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 23435520.

The previous prime is 91016771. The next prime is 91016777. The reversal of 91016772 is 27761019.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (91016771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126229 + ... + 126947.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 291016772 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 91016772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

91016772 is an abundant number, since it is smaller than the sum of its proper divisors (176062908).

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

91016772 is a wasteful number, since it uses less digits than its factorization.

91016772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 91016772 is about 9540.2710653314. The cubic root of 91016772 is about 449.8217763370.

The spelling of 91016772 in words is "ninety-one million, sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 137 154 231 274 308 411 462 548 719 822 924 959 1438 1507 1644 1918 2157 2876 2877 3014 3836 4314 4521 5033 5754 6028 7909 8628 9042 10066 10549 11508 15099 15818 18084 20132 21098 23727 30198 31636 31647 42196 47454 55363 60396 63294 94908 98503 110726 126588 166089 197006 221452 295509 332178 394012 591018 664356 689521 1083533 1182036 1379042 2068563 2167066 2758084 3250599 4137126 4334132 6501198 7584731 8274252 13002396 15169462 22754193 30338924 45508386 91016772