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140564970 = 23457131907
BaseRepresentation
bin10000110000011…
…01100111101010
3100210111102220000
420120031213222
5241441034340
621540443430
73324532260
oct1030154752
9323442800
10140564970
11723885a7
123b0a9576
1323177550
1414950430
15c518d30
hex860d9ea

140564970 has 160 divisors (see below), whose sum is σ = 465429888. Its totient is φ = 29642112.

The previous prime is 140564947. The next prime is 140564971. The reversal of 140564970 is 79465041.

140564970 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 649 + 7 + 0 = 666.

It is a super-2 number, since 2×1405649702 = 39517021582201800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140564971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72757 + ... + 74663.

Almost surely, 2140564970 is an apocalyptic number.

140564970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140564970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232714944).

140564970 is an abundant number, since it is smaller than the sum of its proper divisors (324864918).

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

140564970 is a wasteful number, since it uses less digits than its factorization.

140564970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1937 counting only the distinct ones).

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

The square root of 140564970 is about 11856.0098684169. The cubic root of 140564970 is about 519.9469497162.

The spelling of 140564970 in words is "one hundred forty million, five hundred sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 1907 2106 2457 2730 2835 3510 3814 4095 4914 5265 5670 5721 7371 8190 9535 10530 11442 12285 13349 14742 17163 19070 24570 24791 26698 28605 34326 36855 40047 49582 51489 57210 66745 73710 74373 80094 85815 102978 120141 123955 133490 148746 154467 171630 173537 200235 223119 240282 247910 257445 308934 347074 360423 371865 400470 446238 514890 520611 600705 669357 720846 743730 772335 867685 1041222 1081269 1115595 1201410 1338714 1544670 1561833 1735370 1802115 2008071 2162538 2231190 2603055 3123666 3346785 3604230 4016142 4685499 5206110 5406345 6693570 7809165 9370998 10040355 10812690 14056497 15618330 20080710 23427495 28112994 46854990 70282485 140564970