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20930829300 = 223652287117
BaseRepresentation
bin10011011111100100…
…110001101111110100
32000000201001022000000
4103133210301233310
5320331243014200
613340540151300
71340454053643
oct233744615764
960021038000
1020930829300
1189709a8937
124081838530
131c874a68c4
141027b8935a
15827837300
hex4df931bf4

20930829300 has 126 divisors (see below), whose sum is σ = 68098934358. Its totient is φ = 5581535040.

The previous prime is 20930829299. The next prime is 20930829307. The reversal of 20930829300 is 392803902.

20930829300 is a `hidden beast` number, since 20 + 9 + 308 + 29 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18198756 + 20912630544 = 4266^2 + 144612^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (20930829307) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70659 + ... + 216458.

It is an arithmetic number, because the mean of its divisors is an integer number (540467733).

Almost surely, 220930829300 is an apocalyptic number.

20930829300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20930829300 is an abundant number, since it is smaller than the sum of its proper divisors (47168105058).

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

20930829300 is a wasteful number, since it uses less digits than its factorization.

20930829300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287149 (or 287127 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 20930829300 in words is "twenty billion, nine hundred thirty million, eight hundred twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 287117 574234 861351 1148468 1435585 1722702 2584053 2871170 3445404 4306755 5168106 5742340 7177925 7752159 8613510 10336212 12920265 14355850 15504318 17227020 21533775 23256477 25840530 28711700 31008636 38760795 43067550 46512954 51681060 64601325 69769431 77521590 86135100 93025908 116282385 129202650 139538862 155043180 193803975 209308293 232564770 258405300 279077724 348847155 387607950 418616586 465129540 581411925 697694310 775215900 837233172 1046541465 1162823850 1395388620 1744235775 2093082930 2325647700 3488471550 4186165860 5232707325 6976943100 10465414650 20930829300