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1981840320 = 26325688139
BaseRepresentation
bin111011000100000…
…0111101111000000
312010010011220211100
41312020013233000
513024322342240
6524353414400
7100053236055
oct16610075700
95103156740
101981840320
11927773a69
1247386a400
132577897a5
1414b2cd02c
15b8ec6e30
hex76207bc0

1981840320 has 84 divisors (see below), whose sum is σ = 6816714840. Its totient is φ = 528489984.

The previous prime is 1981840303. The next prime is 1981840321. The reversal of 1981840320 is 230481891.

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 (1981840321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341190 + ... + 346949.

Almost surely, 21981840320 is an apocalyptic number.

1981840320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1981840320 is an abundant number, since it is smaller than the sum of its proper divisors (4834874520).

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

1981840320 is a wasteful number, since it uses less digits than its factorization.

1981840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688162 (or 688149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1981840320 is about 44517.8651779260. The cubic root of 1981840320 is about 1256.0961561068.

The spelling of 1981840320 in words is "one billion, nine hundred eighty-one million, eight hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 688139 1376278 2064417 2752556 3440695 4128834 5505112 6193251 6881390 8257668 10322085 11010224 12386502 13762780 16515336 20644170 22020448 24773004 27525560 30966255 33030672 41288340 44040896 49546008 55051120 61932510 66061344 82576680 99092016 110102240 123865020 132122688 165153360 198184032 220204480 247730040 330306720 396368064 495460080 660613440 990920160 1981840320