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2381597940 = 2235193167391
BaseRepresentation
bin1000110111110100…
…0100110011110100
320010222101201012010
42031331010303310
514334142113230
61032153524220
7113006151141
oct21575046364
96128351163
102381597940
111012393867
12565713670
132bc544967
1418842d3c8
15de13d9b0
hex8df44cf4

2381597940 has 96 divisors (see below), whose sum is σ = 7245987840. Its totient is φ = 582249600.

The previous prime is 2381597899. The next prime is 2381597963. The reversal of 2381597940 is 497951832.

It is a super-3 number, since 3×23815979403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2381597940.

It is a congruent number.

It is an unprimeable number.

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, 1645 + ... + 69035.

It is an arithmetic number, because the mean of its divisors is an integer number (75479040).

Almost surely, 22381597940 is an apocalyptic number.

2381597940 is a gapful number since it is divisible by the number (20) 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 2381597940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622993920).

2381597940 is an abundant number, since it is smaller than the sum of its proper divisors (4864389900).

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

2381597940 is a wasteful number, since it uses less digits than its factorization.

2381597940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67453 (or 67451 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 2381597940 is about 48801.6182108749. The cubic root of 2381597940 is about 1335.4351875545.

The spelling of 2381597940 in words is "two billion, three hundred eighty-one million, five hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 11780 17670 35340 67391 134782 202173 269564 336955 404346 673910 808692 1010865 1280429 1347820 2021730 2089121 2560858 3841287 4043460 4178242 5121716 6267363 6402145 7682574 8356484 10445605 12534726 12804290 15365148 19206435 20891210 25069452 25608580 31336815 38412870 39693299 41782420 62673630 76825740 79386598 119079897 125347260 158773196 198466495 238159794 396932990 476319588 595399485 793865980 1190798970 2381597940