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91434920 = 23541127439
BaseRepresentation
bin1010111001100…
…10111110101000
320101001101010112
411130302332220
5141401404140
613023433452
72160120053
oct534627650
9211041115
1091434920
1147681455
1226755888
1315c35105
14c201a9a
158061c65
hex5732fa8

91434920 has 64 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 35320320.

The previous prime is 91434907. The next prime is 91434923. The reversal of 91434920 is 2943419.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (91434923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208061 + ... + 208499.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 291434920 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 91434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

91434920 is an abundant number, since it is smaller than the sum of its proper divisors (121454680).

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

91434920 is a wasteful number, since it uses less digits than its factorization.

91434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 91434920 is about 9562.1608436587. The cubic root of 91434920 is about 450.5095791144.

The spelling of 91434920 in words is "ninety-one million, four hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 439 508 635 820 878 1016 1270 1640 1756 2195 2540 3512 4390 5080 5207 8780 10414 17560 17999 20828 26035 35998 41656 52070 55753 71996 89995 104140 111506 143992 179990 208280 223012 278765 359980 446024 557530 719960 1115060 2230120 2285873 4571746 9143492 11429365 18286984 22858730 45717460 91434920