Search a number
-
+
91695420 = 223253171607
BaseRepresentation
bin1010111011100…
…10100100111100
320101112121110200
411131302210330
5141433223140
613033203500
72162253405
oct535624474
9211477420
1091695420
114783a143
1226860590
1315cc685b
14c26c9ac
1580b4030
hex577293c

91695420 has 72 divisors (see below), whose sum is σ = 279193824. Its totient is φ = 24359808.

The previous prime is 91695413. The next prime is 91695431. The reversal of 91695420 is 2459619.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56257 + ... + 57863.

It is an arithmetic number, because the mean of its divisors is an integer number (3877692).

It is a vampire number, since it can be written as 95109642 (with its own digits).

Almost surely, 291695420 is an apocalyptic number.

91695420 is a gapful number since it is divisible by the number (90) 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 91695420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139596912).

91695420 is an abundant number, since it is smaller than the sum of its proper divisors (187498404).

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

91695420 is a wasteful number, since it uses less digits than its factorization.

91695420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 91695420 is about 9575.7725536899. The cubic root of 91695420 is about 450.9370105227.

The spelling of 91695420 in words is "ninety-one million, six hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1607 1902 2853 3170 3214 3804 4755 4821 5706 6340 6428 8035 9510 9642 11412 14265 14463 16070 19020 19284 24105 28530 28926 32140 48210 57060 57852 72315 96420 144630 289260 509419 1018838 1528257 2037676 2547095 3056514 4584771 5094190 6113028 7641285 9169542 10188380 15282570 18339084 22923855 30565140 45847710 91695420