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91064064 = 2837131303
BaseRepresentation
bin1010110110110…
…00011100000000
320100100112102010
411123120130000
5141303022224
613011452520
72154013620
oct533303400
9210315363
1091064064
1147448863
12265b7140
1315b35380
14c146880
157edbe29
hex56d8700

91064064 has 144 divisors (see below), whose sum is σ = 298522112. Its totient is φ = 23998464.

The previous prime is 91064059. The next prime is 91064111. The reversal of 91064064 is 46046019.

It is a congruent number.

It is an unprimeable number.

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, 69237 + ... + 70539.

Almost surely, 291064064 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 91064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149261056).

91064064 is an abundant number, since it is smaller than the sum of its proper divisors (207458048).

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

91064064 is a wasteful number, since it uses less digits than its factorization.

91064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 91064064 is about 9542.7492893820. The cubic root of 91064064 is about 449.8996714603.

The spelling of 91064064 in words is "ninety-one million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1303 1344 1456 1664 1792 2184 2496 2606 2688 2912 3328 3909 4368 4992 5212 5376 5824 7818 8736 9121 9984 10424 11648 15636 16939 17472 18242 20848 23296 27363 31272 33878 34944 36484 41696 50817 54726 62544 67756 69888 72968 83392 101634 109452 118573 125088 135512 145936 166784 203268 218904 237146 250176 271024 291872 333568 355719 406536 437808 474292 500352 542048 583744 711438 813072 875616 948584 1000704 1084096 1167488 1422876 1626144 1751232 1897168 2168192 2334976 2845752 3252288 3502464 3794336 4336384 5691504 6504576 7004928 7588672 11383008 13009152 15177344 22766016 30354688 45532032 91064064