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91070016 = 2633311433
BaseRepresentation
bin1010110110110…
…01111001000000
320100100211120120
411123121321000
5141303220031
613011540240
72154040152
oct533317100
9210324516
1091070016
1147452284
12265ba680
1315b37cab
14c148ad2
157edda96
hex56d9e40

91070016 has 56 divisors (see below), whose sum is σ = 241852704. Its totient is φ = 30243840.

The previous prime is 91069997. The next prime is 91070017. The reversal of 91070016 is 61007019.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (91070017) 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 7 ways as a sum of consecutive naturals, for example, 62836 + ... + 64268.

Almost surely, 291070016 is an apocalyptic number.

91070016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120926352).

91070016 is an abundant number, since it is smaller than the sum of its proper divisors (150782688).

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

91070016 is a wasteful number, since it uses less digits than its factorization.

91070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 91070016 is about 9543.0611440984. The cubic root of 91070016 is about 449.9094731479.

The spelling of 91070016 in words is "ninety-one million, seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1433 1986 2648 2866 3972 4299 5296 5732 7944 8598 10592 11464 15888 17196 21184 22928 31776 34392 45856 63552 68784 91712 137568 275136 474323 948646 1422969 1897292 2845938 3794584 5691876 7589168 11383752 15178336 22767504 30356672 45535008 91070016