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91938420 = 223257131557
BaseRepresentation
bin1010111101011…
…01111001110100
320101222221210200
411132231321310
5142014012140
613042320500
72164315020
oct536557164
9211887720
1091938420
1147995772
1226959130
1316080342
14c2d3380
158111030
hex57ade74

91938420 has 144 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 20816640.

The previous prime is 91938389. The next prime is 91938421. The reversal of 91938420 is 2483919.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91938421) 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, 164782 + ... + 165338.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 291938420 is an apocalyptic number.

91938420 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 91938420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

91938420 is an abundant number, since it is smaller than the sum of its proper divisors (229790988).

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

91938420 is a wasteful number, since it uses less digits than its factorization.

91938420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 91938420 is about 9588.4524298763. The cubic root of 91938420 is about 451.3349985551.

The spelling of 91938420 in words is "ninety-one million, nine hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 131 140 180 210 252 262 315 393 420 524 557 630 655 786 917 1114 1179 1260 1310 1572 1671 1834 1965 2228 2358 2620 2751 2785 3342 3668 3899 3930 4585 4716 5013 5502 5570 5895 6684 7798 7860 8253 8355 9170 10026 11004 11140 11697 11790 13755 15596 16506 16710 18340 19495 20052 23394 23580 25065 27510 33012 33420 35091 38990 41265 46788 50130 55020 58485 70182 72967 77980 82530 100260 116970 140364 145934 165060 175455 218901 233940 291868 350910 364835 437802 510769 656703 701820 729670 875604 1021538 1094505 1313406 1459340 1532307 2043076 2189010 2553845 2626812 3064614 3283515 4378020 4596921 5107690 6129228 6567030 7661535 9193842 10215380 13134060 15323070 18387684 22984605 30646140 45969210 91938420