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94201920 = 2633510903
BaseRepresentation
bin1011001110101…
…10100001000000
320120020221202000
411213112201000
5143103430140
613203024000
72222463111
oct547264100
9216227660
1094201920
11491a132a
122766b000
13166936a7
14c722208
15840ba30
hex59d6840

94201920 has 112 divisors (see below), whose sum is σ = 332353920. Its totient is φ = 25118208.

The previous prime is 94201903. The next prime is 94201931. The reversal of 94201920 is 2910249.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3189 + ... + 14091.

Almost surely, 294201920 is an apocalyptic number.

94201920 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 94201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166176960).

94201920 is an abundant number, since it is smaller than the sum of its proper divisors (238152000).

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

94201920 is a wasteful number, since it uses less digits than its factorization.

94201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929 (or 10913 counting only the distinct ones).

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

The square root of 94201920 is about 9705.7673576075. The cubic root of 94201920 is about 455.0089278931.

The spelling of 94201920 in words is "ninety-four million, two hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 10903 21806 32709 43612 54515 65418 87224 98127 109030 130836 163545 174448 196254 218060 261672 294381 327090 348896 392508 436120 490635 523344 588762 654180 697792 785016 872240 981270 1046688 1177524 1308360 1471905 1570032 1744480 1962540 2093376 2355048 2616720 2943810 3140064 3488960 3925080 4710096 5233440 5887620 6280128 7850160 9420192 10466880 11775240 15700320 18840384 23550480 31400640 47100960 94201920