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1009674540 = 2232571747137
BaseRepresentation
bin111100001011100…
…110100100101100
32121100212210002100
4330023212210230
54031434041130
6244104455100
734010043360
oct7413464454
92540783070
101009674540
11478a31476
1224217a490
13131246874
14981492a0
155d992c60
hex3c2e692c

1009674540 has 144 divisors (see below), whose sum is σ = 3706178112. Its totient is φ = 217202688.

The previous prime is 1009674517. The next prime is 1009674541. The reversal of 1009674540 is 454769001.

1009674540 is a `hidden beast` number, since 100 + 9 + 6 + 7 + 4 + 540 = 666.

1009674540 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1009674495 and 1009674504.

It is not an unprimeable number, because it can be changed into a prime (1009674541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149 + ... + 44988.

It is an arithmetic number, because the mean of its divisors is an integer number (25737348).

Almost surely, 21009674540 is an apocalyptic number.

1009674540 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 1009674540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853089056).

1009674540 is an abundant number, since it is smaller than the sum of its proper divisors (2696503572).

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

1009674540 is a wasteful number, since it uses less digits than its factorization.

1009674540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47176 (or 47171 counting only the distinct ones).

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

The square root of 1009674540 is about 31775.3763156316. The cubic root of 1009674540 is about 1003.2145025681.

The spelling of 1009674540 in words is "one billion, nine million, six hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 47137 94274 141411 188548 235685 282822 329959 424233 471370 565644 659918 707055 801329 848466 942740 989877 1319836 1414110 1602658 1649795 1696932 1979754 2121165 2403987 2828220 2969631 3205316 3299590 3959508 4006645 4242330 4807974 4949385 5609303 5939262 6599180 7211961 8013290 8484660 9615948 9898770 11218606 11878524 12019935 14423922 14848155 16026580 16827909 19797540 22437212 24039870 28046515 28847844 29696310 33655818 36059805 48079740 50483727 56093030 59392620 67311636 72119610 84139545 100967454 112186060 144239220 168279090 201934908 252418635 336558180 504837270 1009674540