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4073540000 = 25541711981
BaseRepresentation
bin1111001011001101…
…0100100110100000
3101111220002021100212
43302303110212200
531320311240000
61512114033252
7202642342625
oct36263244640
911456067325
104073540000
111800452992
12958278828
134cbc2c5ca
142a901834c
1518c94ec35
hexf2cd49a0

4073540000 has 120 divisors (see below), whose sum is σ = 10611906228. Its totient is φ = 1533440000.

The previous prime is 4073539999. The next prime is 4073540021. The reversal of 4073540000 is 453704.

It can be written as a sum of positive squares in 10 ways, for example, as 110082064 + 3963457936 = 10492^2 + 62956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 334010 + ... + 345990.

Almost surely, 24073540000 is an apocalyptic number.

4073540000 is a gapful number since it is divisible by the number (40) 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 4073540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305953114).

4073540000 is an abundant number, since it is smaller than the sum of its proper divisors (6538366228).

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

4073540000 is a wasteful number, since it uses less digits than its factorization.

4073540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 4073540000 is about 63824.2900469719. The cubic root of 4073540000 is about 1597.0701591283.

Adding to 4073540000 its reverse (453704), we get a palindrome (4073993704).

The spelling of 4073540000 in words is "four billion, seventy-three million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 11981 13600 17000 20000 21250 23962 34000 42500 47924 59905 68000 85000 95848 119810 170000 191696 203677 239620 299525 340000 383392 407354 479240 599050 814708 958480 1018385 1198100 1497625 1629416 1916960 2036770 2396200 2995250 3258832 4073540 4792400 5091925 5990500 6517664 7488125 8147080 9584800 10183850 11981000 14976250 16294160 20367700 23962000 25459625 29952500 32588320 40735400 47924000 50919250 59905000 81470800 101838500 119810000 127298125 162941600 203677000 239620000 254596250 407354000 509192500 814708000 1018385000 2036770000 4073540000