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91006916 = 2272111317191
BaseRepresentation
bin1010110110010…
…10011111000100
320100020122000112
411123022133010
5141244210131
613010332152
72153355200
oct533123704
9210218015
1091006916
1147409930
122658a058
1315b15360
14c12db00
157eca02b
hex56ca7c4

91006916 has 144 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 30643200.

The previous prime is 91006897. The next prime is 91006957. The reversal of 91006916 is 61960019.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476381 + ... + 476571.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 291006916 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 91006916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

91006916 is an abundant number, since it is smaller than the sum of its proper divisors (140655676).

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

91006916 is a wasteful number, since it uses less digits than its factorization.

91006916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 91006916 is about 9539.7545041788. The cubic root of 91006916 is about 449.8055390239.

The spelling of 91006916 in words is "ninety-one million, six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 49 52 68 77 91 98 119 143 154 182 187 191 196 221 238 286 308 364 374 382 442 476 539 572 637 748 764 833 884 1001 1078 1274 1309 1337 1547 1666 2002 2101 2156 2431 2483 2548 2618 2674 3094 3247 3332 4004 4202 4862 4966 5236 5348 6188 6494 7007 8404 9163 9359 9724 9932 10829 12988 14014 14707 17017 17381 18326 18718 21658 22729 27313 28028 29414 34034 34762 35717 36652 37436 42211 43316 45458 54626 58828 68068 69524 71434 84422 90916 102949 109252 119119 121667 142868 159103 168844 191191 205898 238238 243334 250019 295477 318206 382382 411796 464321 476476 486668 500038 590954 636412 764764 928642 1000076 1181908 1338337 1750133 1857284 2068339 2676674 3250247 3500266 4136678 5353348 6500494 7000532 8273356 13000988 22751729 45503458 91006916