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1974050640 = 243253774101
BaseRepresentation
bin111010110101001…
…1001111101010000
312002120112011101200
41311222121331100
513020324110030
6523514431200
766630103452
oct16552317520
95076464350
101974050640
11923333511
12471132500
13255c90003
1414a2622d2
15b8488d60
hex75a99f50

1974050640 has 120 divisors (see below), whose sum is σ = 6808788168. Its totient is φ = 512179200.

The previous prime is 1974050627. The next prime is 1974050711. The reversal of 1974050640 is 460504791.

1974050640 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 0 + 5 + 0 + 640 = 666.

1974050640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 497646864 + 1476403776 = 22308^2 + 38424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1974050595 and 1974050604.

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 23 ways as a sum of consecutive naturals, for example, 10411 + ... + 63690.

Almost surely, 21974050640 is an apocalyptic number.

1974050640 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 1974050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404394084).

1974050640 is an abundant number, since it is smaller than the sum of its proper divisors (4834737528).

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

1974050640 is a wasteful number, since it uses less digits than its factorization.

1974050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74157 (or 74148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1974050640 is about 44430.2896681982. The cubic root of 1974050640 is about 1254.4482879433.

The spelling of 1974050640 in words is "one billion, nine hundred seventy-four million, fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 74101 148202 222303 296404 370505 444606 592808 666909 741010 889212 1111515 1185616 1333818 1482020 1778424 2223030 2667636 2741737 2964040 3334545 3556848 4446060 5335272 5483474 5928080 6669090 8225211 8892120 10670544 10966948 13338180 13708685 16450422 17784240 21933896 24675633 26676360 27417370 32900844 41126055 43867792 49351266 53352720 54834740 65801688 82252110 98702532 109669480 123378165 131603376 164504220 197405064 219338960 246756330 329008440 394810128 493512660 658016880 987025320 1974050640