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4090000740 = 2235713771081
BaseRepresentation
bin1111001111001000…
…0111010101100100
3101120001001120020220
43303302013111210
531334020010430
61513502524340
7203232301260
oct36362072544
911501046226
104090000740
111809776101
129618966b0
13502473aa7
142ab2a10a0
1518e102110
hexf3c87564

4090000740 has 96 divisors (see below), whose sum is σ = 13183720704. Its totient is φ = 928020480.

The previous prime is 4090000723. The next prime is 4090000741. The reversal of 4090000740 is 470000904.

It is a self number, because there is not a number n which added to its sum of digits gives 4090000740.

It is not an unprimeable number, because it can be changed into a prime (4090000741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22000 + ... + 93080.

It is an arithmetic number, because the mean of its divisors is an integer number (137330424).

Almost surely, 24090000740 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 4090000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591860352).

4090000740 is an abundant number, since it is smaller than the sum of its proper divisors (9093719964).

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

4090000740 is a wasteful number, since it uses less digits than its factorization.

4090000740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71237 (or 71235 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4090000740 is about 63953.1136067666. The cubic root of 4090000740 is about 1599.2184646679.

The spelling of 4090000740 in words is "four billion, ninety million, seven hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9590 11508 14385 19180 28770 57540 71081 142162 213243 284324 355405 426486 497567 710810 852972 995134 1066215 1421620 1492701 1990268 2132430 2487835 2985402 4264860 4975670 5970804 7463505 9738097 9951340 14927010 19476194 29214291 29854020 38952388 48690485 58428582 68166679 97380970 116857164 136333358 146071455 194761940 204500037 272666716 292142910 340833395 409000074 584285820 681666790 818000148 1022500185 1363333580 2045000370 4090000740