Search a number
-
+
91005096 = 23371341669
BaseRepresentation
bin1010110110010…
…10000010101000
320100020112112010
411123022002220
5141244130341
613010315520
72153346660
oct533120250
9210215463
1091005096
1147408526
1226588ba0
1315b14590
14c12d1a0
157ec9716
hex56ca0a8

91005096 has 64 divisors (see below), whose sum is σ = 280022400. Its totient is φ = 24000768.

The previous prime is 91005091. The next prime is 91005143. The reversal of 91005096 is 69050019.

It is not an unprimeable number, because it can be changed into a prime (91005091) 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 15 ways as a sum of consecutive naturals, for example, 18651 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (4375350).

Almost surely, 291005096 is an apocalyptic number.

It is an amenable number.

91005096 is an abundant number, since it is smaller than the sum of its proper divisors (189017304).

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

91005096 is a wasteful number, since it uses less digits than its factorization.

91005096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41698 (or 41694 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 91005096 is about 9539.6591134065. The cubic root of 91005096 is about 449.8025405282.

It can be divided in two parts, 9100 and 5096, that added together give a triangular number (14196 = T168).

The spelling of 91005096 in words is "ninety-one million, five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 41669 83338 125007 166676 250014 291683 333352 500028 541697 583366 875049 1000056 1083394 1166732 1625091 1750098 2166788 2333464 3250182 3500196 3791879 4333576 6500364 7000392 7583758 11375637 13000728 15167516 22751274 30335032 45502548 91005096