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91014840 = 2334574013
BaseRepresentation
bin1010110110011…
…00011010111000
320100021000220000
411123030122320
5141244433330
613010433000
72153420250
oct533143270
9210230800
1091014840
1147414884
1226592760
1315b18b47
14c132960
157ecc560
hex56cc6b8

91014840 has 160 divisors (see below), whose sum is σ = 349699680. Its totient is φ = 20798208.

The previous prime is 91014823. The next prime is 91014851. The reversal of 91014840 is 4841019.

It is a super-2 number, since 2×910148402 = 16567402200451200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20674 + ... + 24686.

It is an arithmetic number, because the mean of its divisors is an integer number (2185623).

Almost surely, 291014840 is an apocalyptic number.

91014840 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 91014840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174849840).

91014840 is an abundant number, since it is smaller than the sum of its proper divisors (258684840).

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

91014840 is a wasteful number, since it uses less digits than its factorization.

91014840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 91014840 is about 9540.1698098095. The cubic root of 91014840 is about 449.8185935469.

Adding to 91014840 its reverse (4841019), we get a palindrome (95855859).

The spelling of 91014840 in words is "ninety-one million, fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4013 4536 5670 7560 8026 11340 12039 16052 20065 22680 24078 28091 32104 36117 40130 48156 56182 60195 72234 80260 84273 96312 108351 112364 120390 140455 144468 160520 168546 180585 216702 224728 240780 252819 280910 288936 325053 337092 361170 421365 433404 481560 505638 541755 561820 650106 674184 722340 758457 842730 866808 1011276 1083510 1123640 1264095 1300212 1444680 1516914 1625265 1685460 2022552 2167020 2275371 2528190 2600424 3033828 3250530 3370920 3792285 4334040 4550742 5056380 6067656 6501060 7584570 9101484 10112760 11376855 13002120 15169140 18202968 22753710 30338280 45507420 91014840