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6034041020 = 22572911531289
BaseRepresentation
bin1011001111010100…
…00010100010111100
3120120112010001011202
411213222002202330
544324203303040
62434430235032
7302346334220
oct54752024274
916515101152
106034041020
112617071367
121204955a78
13752157197
14413550780
15254b0e015
hex167a828bc

6034041020 has 96 divisors (see below), whose sum is σ = 15005692800. Its totient is φ = 1994194944.

The previous prime is 6034040959. The next prime is 6034041023. The reversal of 6034041020 is 201404306.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6034040983 and 6034041001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6034041023) 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, 4680536 + ... + 4681824.

It is an arithmetic number, because the mean of its divisors is an integer number (156309300).

Almost surely, 26034041020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6034041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502846400).

6034041020 is an abundant number, since it is smaller than the sum of its proper divisors (8971651780).

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

6034041020 is a wasteful number, since it uses less digits than its factorization.

6034041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6034041020 is about 77679.0899792216. The cubic root of 6034041020 is about 1820.5505941928.

Adding to 6034041020 its reverse (201404306), we get a palindrome (6235445326).

The spelling of 6034041020 in words is "six billion, thirty-four million, forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1153 1289 2030 2306 2578 4060 4612 5156 5765 6445 8071 9023 11530 12890 16142 18046 23060 25780 32284 33437 36092 37381 40355 45115 66874 74762 80710 90230 133748 149524 161420 167185 180460 186905 234059 261667 334370 373810 468118 523334 668740 747620 936236 1046668 1170295 1308335 1486217 2340590 2616670 2972434 4681180 5233340 5944868 7431085 10403519 14862170 20807038 29724340 41614076 43100293 52017595 86200586 104035190 172401172 208070380 215501465 301702051 431002930 603404102 862005860 1206808204 1508510255 3017020510 6034041020