Search a number
-
+
9650000640 = 28357359003
BaseRepresentation
bin10001111110010111…
…10101001100000000
3220220112011211021010
420333023311030000
5124230400010030
64233321000520
7461064436440
oct107713651400
926815154233
109650000640
1141021a0345
121a53923140
13baa334667
14677896120
153b72c46b0
hex23f2f5300

9650000640 has 144 divisors (see below), whose sum is σ = 35222600448. Its totient is φ = 2205708288.

The previous prime is 9650000627. The next prime is 9650000663. The reversal of 9650000640 is 460000569.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9650000598 and 9650000607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152622 + ... + 206381.

It is an arithmetic number, because the mean of its divisors is an integer number (244601392).

Almost surely, 29650000640 is an apocalyptic number.

It is an amenable number.

9650000640 is an abundant number, since it is smaller than the sum of its proper divisors (25572599808).

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

9650000640 is a wasteful number, since it uses less digits than its factorization.

9650000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359034 (or 359020 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9650000640 is about 98234.4167794567. The cubic root of 9650000640 is about 2129.0005847215. Note that the first 3 decimals are identical.

The spelling of 9650000640 in words is "nine billion, six hundred fifty million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 359003 718006 1077009 1436012 1795015 2154018 2513021 2872024 3590030 4308036 5026042 5385045 5744048 7180060 7539063 8616072 10052084 10770090 11488096 12565105 14360120 15078126 17232144 20104168 21540180 22976192 25130210 28720240 30156252 34464288 37695315 40208336 43080360 45952384 50260420 57440480 60312504 68928576 75390630 80416672 86160720 91904768 100520840 114880960 120625008 137857152 150781260 160833344 172321440 201041680 229761920 241250016 275714304 301562520 321666688 344642880 402083360 459523840 482500032 603125040 643333376 689285760 804166720 965000064 1206250080 1378571520 1608333440 1930000128 2412500160 3216666880 4825000320 9650000640