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140785008 = 243713167193
BaseRepresentation
bin10000110010000…
…11010101110000
3100210220121201120
420121003111300
5242020110013
621545302240
73326436630
oct1031032560
9323817646
10140785008
1172518951
123b194980
1323223750
14149aa6c0
15c55e123
hex8643570

140785008 has 160 divisors (see below), whose sum is σ = 452637696. Its totient is φ = 36716544.

The previous prime is 140784991. The next prime is 140785009. The reversal of 140785008 is 800587041.

It is a happy number.

140785008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 140785008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140785009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729360 + ... + 729552.

Almost surely, 2140785008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140785008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226318848).

140785008 is an abundant number, since it is smaller than the sum of its proper divisors (311852688).

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

140785008 is a wasteful number, since it uses less digits than its factorization.

140785008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 140785008 is about 11865.2858372649. The cubic root of 140785008 is about 520.2181136278.

The spelling of 140785008 in words is "one hundred forty million, seven hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 167 168 182 193 208 273 312 334 336 364 386 501 546 579 624 668 728 772 1002 1092 1158 1169 1336 1351 1456 1544 2004 2171 2184 2316 2338 2509 2672 2702 3088 3507 4008 4053 4342 4368 4632 4676 5018 5404 6513 7014 7527 8016 8106 8684 9264 9352 10036 10808 13026 14028 15054 15197 16212 17368 17563 18704 20072 21616 26052 28056 30108 30394 32231 32424 34736 35126 40144 45591 52104 52689 56112 60216 60788 64462 64848 70252 91182 96693 104208 105378 120432 121576 128924 140504 182364 193386 210756 225617 243152 257848 281008 364728 386772 419003 421512 451234 515696 676851 729456 773544 838006 843024 902468 1257009 1353702 1547088 1676012 1804936 2514018 2707404 2933021 3352024 3609872 5028036 5414808 5866042 6704048 8799063 10056072 10829616 11732084 17598126 20112144 23464168 35196252 46928336 70392504 140785008