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2389874640 = 243543367631
BaseRepresentation
bin1000111001110010…
…1001011111010000
320011112222012200120
42032130221133100
514343301442030
61033051150240
7113136412356
oct21634513720
96145865616
102389874640
11101702720a
12568445380
132c118200a
141895857d6
15dec26010
hex8e7297d0

2389874640 has 160 divisors (see below), whose sum is σ = 7613607936. Its totient is φ = 619799040.

The previous prime is 2389874621. The next prime is 2389874647. The reversal of 2389874640 is 464789832.

2389874640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389874647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3787125 + ... + 3787755.

Almost surely, 22389874640 is an apocalyptic number.

2389874640 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 2389874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806803968).

2389874640 is an abundant number, since it is smaller than the sum of its proper divisors (5223733296).

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

2389874640 is a wasteful number, since it uses less digits than its factorization.

2389874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 2389874640 is about 48886.3441054861. The cubic root of 2389874640 is about 1336.9803989774.

The spelling of 2389874640 in words is "two billion, three hundred eighty-nine million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 367 430 516 631 645 688 734 860 1032 1101 1262 1290 1468 1720 1835 1893 2064 2202 2524 2580 2936 3155 3440 3670 3786 4404 5048 5160 5505 5872 6310 7340 7572 8808 9465 10096 10320 11010 12620 14680 15144 15781 17616 18930 22020 25240 27133 29360 30288 31562 37860 44040 47343 50480 54266 63124 75720 78905 81399 88080 94686 108532 126248 135665 151440 157810 162798 189372 217064 231577 236715 252496 271330 315620 325596 378744 406995 434128 463154 473430 542660 631240 651192 694731 757488 813990 926308 946860 1085320 1157885 1262480 1302384 1389462 1627980 1852616 1893720 2170640 2315770 2778924 3255960 3473655 3705232 3787440 4631540 5557848 6511920 6947310 9263080 9957811 11115696 13894620 18526160 19915622 27789240 29873433 39831244 49789055 55578480 59746866 79662488 99578110 119493732 149367165 159324976 199156220 238987464 298734330 398312440 477974928 597468660 796624880 1194937320 2389874640