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91379340 = 22345134339
BaseRepresentation
bin1010111001001…
…01011010001100
320100221112220000
411130211122030
5141343114330
613022324300
72156466033
oct534453214
9210845800
1091379340
1147643718
1226729690
1315c15a20
14c1c971a
158050560
hex572568c

91379340 has 120 divisors (see below), whose sum is σ = 308782320. Its totient is φ = 22488192.

The previous prime is 91379333. The next prime is 91379347. The reversal of 91379340 is 4397319.

It is an interprime number because it is at equal distance from previous prime (91379333) and next prime (91379347).

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

It is a junction number, because it is equal to n+sod(n) for n = 91379295 and 91379304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91379347) 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 39 ways as a sum of consecutive naturals, for example, 18891 + ... + 23229.

It is an arithmetic number, because the mean of its divisors is an integer number (2573186).

Almost surely, 291379340 is an apocalyptic number.

91379340 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 91379340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154391160).

91379340 is an abundant number, since it is smaller than the sum of its proper divisors (217402980).

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

91379340 is a wasteful number, since it uses less digits than its factorization.

91379340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 91379340 is about 9559.2541550060. The cubic root of 91379340 is about 450.4182777545.

It can be divided in two parts, 91379 and 340, that added together give a palindrome (91719).

The spelling of 91379340 in words is "ninety-one million, three hundred seventy-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 4339 5265 7020 8678 10530 13017 17356 21060 21695 26034 39051 43390 52068 56407 65085 78102 86780 112814 117153 130170 156204 169221 195255 225628 234306 260340 282035 338442 351459 390510 468612 507663 564070 585765 676884 702918 781020 846105 1015326 1128140 1171530 1405836 1522989 1692210 1757295 2030652 2343060 2538315 3045978 3384420 3514590 4568967 5076630 6091956 7029180 7614945 9137934 10153260 15229890 18275868 22844835 30459780 45689670 91379340