Search a number
-
+
91041090 = 23573711717
BaseRepresentation
bin1010110110100…
…10110101000010
320100022100220020
411123102311002
5141301303330
613011154310
72153556630
oct533226502
9210270806
1091041090
1147432578
12265a5996
1315b27a8a
14c13c350
157ed5210
hex56d2d42

91041090 has 64 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 20245248.

The previous prime is 91041089. The next prime is 91041091. The reversal of 91041090 is 9014019.

It is an interprime number because it is at equal distance from previous prime (91041089) and next prime (91041091).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 91041090.

It is not an unprimeable number, because it can be changed into a prime (91041091) 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, 1912 + ... + 13628.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 291041090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91041090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

91041090 is an abundant number, since it is smaller than the sum of its proper divisors (165442494).

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

91041090 is a wasteful number, since it uses less digits than its factorization.

91041090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 91041090 is about 9541.5454723016. The cubic root of 91041090 is about 449.8618341258.

The spelling of 91041090 in words is "ninety-one million, forty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 11717 23434 35151 58585 70302 82019 117170 164038 175755 246057 351510 410095 433529 492114 820190 867058 1230285 1300587 2167645 2460570 2601174 3034703 4335290 6069406 6502935 9104109 13005870 15173515 18208218 30347030 45520545 91041090