Search a number
-
+
1640013750 = 2335448593
BaseRepresentation
bin110000111000000…
…1001111110110110
311020021222022221000
41201300021332312
511324320420000
6430423104130
755432613124
oct14160117666
94207868830
101640013750
11771821671
123992a2046
13201a0594b
14117b4c914
1598ea5000
hex61c09fb6

1640013750 has 80 divisors (see below), whose sum is σ = 4554229680. Its totient is φ = 437328000.

The previous prime is 1640013721. The next prime is 1640013751. The reversal of 1640013750 is 573100461.

1640013750 is a `hidden beast` number, since 1 + 640 + 0 + 13 + 7 + 5 + 0 = 666.

1640013750 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640013751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9454 + ... + 58046.

It is an arithmetic number, because the mean of its divisors is an integer number (56927871).

Almost surely, 21640013750 is an apocalyptic number.

1640013750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640013750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277114840).

1640013750 is an abundant number, since it is smaller than the sum of its proper divisors (2914215930).

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

1640013750 is an equidigital number, since it uses as much as digits as its factorization.

1640013750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48624 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1640013750 is about 40497.0832283018. The cubic root of 1640013750 is about 1179.2770037193.

The spelling of 1640013750 in words is "one billion, six hundred forty million, thirteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 625 675 750 1125 1250 1350 1875 2250 3375 3750 5625 6750 11250 16875 33750 48593 97186 145779 242965 291558 437337 485930 728895 874674 1214825 1312011 1457790 2186685 2429650 2624022 3644475 4373370 6074125 6560055 7288950 10933425 12148250 13120110 18222375 21866850 30370625 32800275 36444750 54667125 60741250 65600550 91111875 109334250 164001375 182223750 273335625 328002750 546671250 820006875 1640013750