Search a number
-
+
91103936 = 26721119139
BaseRepresentation
bin1010110111000…
…10001011000000
320100102120002212
411123202023000
5141310311221
613012401252
72154241100
oct533421300
9210376085
1091103936
1147475810
1226616228
1315b4a571
14c157200
157ee8b5b
hex56e22c0

91103936 has 168 divisors, whose sum is σ = 243230400. Its totient is φ = 33384960.

The previous prime is 91103933. The next prime is 91103951. The reversal of 91103936 is 63930119.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (91103933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655355 + ... + 655493.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 291103936 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 91103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121615200).

91103936 is an abundant number, since it is smaller than the sum of its proper divisors (152126464).

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

91103936 is a wasteful number, since it uses less digits than its factorization.

91103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 91103936 is about 9544.8381861611. The cubic root of 91103936 is about 449.9653240770.

The spelling of 91103936 in words is "ninety-one million, one hundred three thousand, nine hundred thirty-six".