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991420020 = 223355093607
BaseRepresentation
bin111011000101111…
…101111001110100
32120002112100121000
4323011331321310
54012300420040
6242213323300
733365634243
oct7305757164
92502470530
10991420020
114696a3598
12238036530
1312a524a86
149595695a
155c089130
hex3b17de74

991420020 has 96 divisors (see below), whose sum is σ = 3091334400. Its totient is φ = 263786112.

The previous prime is 991419973. The next prime is 991420043. The reversal of 991420020 is 20024199.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273057 + ... + 276663.

It is an arithmetic number, because the mean of its divisors is an integer number (32201400).

Almost surely, 2991420020 is an apocalyptic number.

991420020 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 991420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545667200).

991420020 is an abundant number, since it is smaller than the sum of its proper divisors (2099914380).

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

991420020 is a wasteful number, since it uses less digits than its factorization.

991420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 991420020 is about 31486.8229581836. The cubic root of 991420020 is about 997.1317878912.

The spelling of 991420020 in words is "nine hundred ninety-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 509 540 1018 1527 2036 2545 3054 3607 4581 5090 6108 7214 7635 9162 10180 10821 13743 14428 15270 18035 18324 21642 22905 27486 30540 32463 36070 43284 45810 54105 54972 64926 68715 72140 91620 97389 108210 129852 137430 162315 194778 216420 274860 324630 389556 486945 649260 973890 1835963 1947780 3671926 5507889 7343852 9179815 11015778 16523667 18359630 22031556 27539445 33047334 36719260 49571001 55078890 66094668 82618335 99142002 110157780 165236670 198284004 247855005 330473340 495710010 991420020