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3126820020 = 2235291939311
BaseRepresentation
bin1011101001011111…
…0111110010110100
322001220122220200220
42322113313302310
522400431220040
61234134334340
7140325350232
oct27227676264
98056586626
103126820020
111365010185
127331ba3b0
133aaa5877c
142193b9952
151347952d0
hexba5f7cb4

3126820020 has 96 divisors (see below), whose sum is σ = 9104901120. Its totient is φ = 800808960.

The previous prime is 3126819989. The next prime is 3126820027. The reversal of 3126820020 is 200286213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126820027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331165 + ... + 340475.

It is an arithmetic number, because the mean of its divisors is an integer number (94842720).

Almost surely, 23126820020 is an apocalyptic number.

3126820020 is a gapful number since it is divisible by the number (30) 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 3126820020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552450560).

3126820020 is an abundant number, since it is smaller than the sum of its proper divisors (5978081100).

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

3126820020 is a wasteful number, since it uses less digits than its factorization.

3126820020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3126820020 is about 55917.9758217337. The cubic root of 3126820020 is about 1462.2926417973.

The spelling of 3126820020 in words is "three billion, one hundred twenty-six million, eight hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 193 290 348 386 435 579 580 772 870 965 1158 1740 1930 2316 2895 3860 5597 5790 9311 11194 11580 16791 18622 22388 27933 27985 33582 37244 46555 55866 55970 67164 83955 93110 111732 111940 139665 167910 186220 270019 279330 335820 540038 558660 810057 1080076 1350095 1620114 1797023 2700190 3240228 3594046 4050285 5391069 5400380 7188092 8100570 8985115 10782138 16201140 17970230 21564276 26955345 35940460 52113667 53910690 104227334 107821380 156341001 208454668 260568335 312682002 521136670 625364004 781705005 1042273340 1563410010 3126820020