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4074371040 = 25359299137
BaseRepresentation
bin1111001011011001…
…1111011111100000
3101111221122111100010
43302312133133200
531321014333130
61512143524520
7202652403525
oct36266373740
911457574303
104074371040
1118009702a3
129585b9740
134cc16094c
142a919314c
1518ca660b0
hexf2d9f7e0

4074371040 has 96 divisors (see below), whose sum is σ = 12849490080. Its totient is φ = 1085210624.

The previous prime is 4074371029. The next prime is 4074371047. The reversal of 4074371040 is 401734704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4074370989 and 4074371007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074371047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441352 + ... + 450488.

It is an arithmetic number, because the mean of its divisors is an integer number (133848855).

Almost surely, 24074371040 is an apocalyptic number.

4074371040 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 4074371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424745040).

4074371040 is an abundant number, since it is smaller than the sum of its proper divisors (8775119040).

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

4074371040 is a wasteful number, since it uses less digits than its factorization.

4074371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4074371040 is about 63830.8000889853. The cubic root of 4074371040 is about 1597.1787574596.

The spelling of 4074371040 in words is "four billion, seventy-four million, three hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 929 1858 2787 3716 4645 5574 7432 9137 9290 11148 13935 14864 18274 18580 22296 27411 27870 29728 36548 37160 44592 45685 54822 55740 73096 74320 89184 91370 109644 111480 137055 146192 148640 182740 219288 222960 274110 292384 365480 438576 445920 548220 730960 877152 1096440 1461920 2192880 4385760 8488273 16976546 25464819 33953092 42441365 50929638 67906184 84882730 101859276 127324095 135812368 169765460 203718552 254648190 271624736 339530920 407437104 509296380 679061840 814874208 1018592760 1358123680 2037185520 4074371040