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91061820 = 2235541457
BaseRepresentation
bin1010110110101…
…11111000111100
320100100102100000
411123113320330
5141302434240
613011434300
72154004233
oct533277074
9210312300
1091061820
1147447103
12265b5990
1315b34345
14c145b1a
157edb430
hex56d7e3c

91061820 has 144 divisors (see below), whose sum is σ = 294079968. Its totient is φ = 23639040.

The previous prime is 91061783. The next prime is 91061821. The reversal of 91061820 is 2816019.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91061821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199032 + ... + 199488.

It is an arithmetic number, because the mean of its divisors is an integer number (2042222).

Almost surely, 291061820 is an apocalyptic number.

91061820 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 91061820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147039984).

91061820 is an abundant number, since it is smaller than the sum of its proper divisors (203018148).

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

91061820 is a wasteful number, since it uses less digits than its factorization.

91061820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 91061820 is about 9542.6317124785. The cubic root of 91061820 is about 449.8959759552.

Adding to 91061820 its reverse (2816019), we get a palindrome (93877839).

The spelling of 91061820 in words is "ninety-one million, sixty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 243 246 270 324 369 405 410 457 486 492 540 615 738 810 820 914 972 1107 1215 1230 1371 1476 1620 1828 1845 2214 2285 2430 2460 2742 3321 3690 4113 4428 4570 4860 5484 5535 6642 6855 7380 8226 9140 9963 11070 12339 13284 13710 16452 16605 18737 19926 20565 22140 24678 27420 33210 37017 37474 39852 41130 49356 49815 56211 61695 66420 74034 74948 82260 93685 99630 111051 112422 123390 148068 168633 185085 187370 199260 222102 224844 246780 281055 337266 370170 374740 444204 505899 555255 562110 674532 740340 843165 1011798 1110510 1124220 1517697 1686330 2023596 2221020 2529495 3035394 3372660 4553091 5058990 6070788 7588485 9106182 10117980 15176970 18212364 22765455 30353940 45530910 91061820