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91693980 = 223257611193
BaseRepresentation
bin1010111011100…
…10001110011100
320101112112111100
411131302032130
5141433201410
613033153100
72162246250
oct535621634
9211475440
1091693980
1147839054
122685b790
1315cc5cc1
14c26c260
1580b38c0
hex577239c

91693980 has 144 divisors (see below), whose sum is σ = 323354304. Its totient is φ = 20597760.

The previous prime is 91693967. The next prime is 91693997. The reversal of 91693980 is 8939619.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76264 + ... + 77456.

It is an arithmetic number, because the mean of its divisors is an integer number (2245516).

Almost surely, 291693980 is an apocalyptic number.

91693980 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 91693980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161677152).

91693980 is an abundant number, since it is smaller than the sum of its proper divisors (231660324).

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

91693980 is a wasteful number, since it uses less digits than its factorization.

91693980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 91693980 is about 9575.6973636388. The cubic root of 91693980 is about 450.9346499806.

The spelling of 91693980 in words is "ninety-one million, six hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1193 1220 1260 1281 1708 1830 2135 2196 2386 2562 2745 3579 3660 3843 4270 4772 5124 5490 5965 6405 7158 7686 8351 8540 10737 10980 11930 12810 14316 15372 16702 17895 19215 21474 23860 25053 25620 33404 35790 38430 41755 42948 50106 53685 71580 72773 75159 76860 83510 100212 107370 125265 145546 150318 167020 214740 218319 250530 291092 300636 363865 375795 436638 501060 509411 654957 727730 751590 873276 1018822 1091595 1309914 1455460 1503180 1528233 2037644 2183190 2547055 2619828 3056466 3274785 4366380 4584699 5094110 6112932 6549570 7641165 9169398 10188220 13099140 15282330 18338796 22923495 30564660 45846990 91693980