Search a number
-
+
1664374740 = 2235711335069
BaseRepresentation
bin110001100110100…
…0101011111010100
311021222210222220220
41203031011133110
511402034442430
6433053154340
756146644330
oct14315053724
94258728826
101664374740
11784550416
123a548b9b0
13206a85032
1411b0907c0
159b1b8110
hex633457d4

1664374740 has 96 divisors (see below), whose sum is σ = 5373285120. Its totient is φ = 377051136.

The previous prime is 1664374739. The next prime is 1664374759. The reversal of 1664374740 is 474734661.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1664374692 and 1664374701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29926 + ... + 64994.

It is an arithmetic number, because the mean of its divisors is an integer number (55971720).

Almost surely, 21664374740 is an apocalyptic number.

1664374740 is a gapful number since it is divisible by the number (10) 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 1664374740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686642560).

1664374740 is an abundant number, since it is smaller than the sum of its proper divisors (3708910380).

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

1664374740 is a wasteful number, since it uses less digits than its factorization.

1664374740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35201 (or 35199 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 1664374740 is about 40796.7491351946. The cubic root of 1664374740 is about 1185.0873762771.

The spelling of 1664374740 in words is "one billion, six hundred sixty-four million, three hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 35069 47460 70138 105207 140276 175345 210414 245483 350690 420828 490966 526035 701380 736449 981932 1052070 1227415 1472898 2104140 2454830 2945796 3682245 3962797 4909660 7364490 7925594 11888391 14728980 15851188 19813985 23776782 27739579 39627970 47553564 55479158 59441955 79255940 83218737 110958316 118883910 138697895 166437474 237767820 277395790 332874948 416093685 554791580 832187370 1664374740