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140332968 = 2332103127149
BaseRepresentation
bin10000101110101…
…00111110101000
3100210001122122100
420113110332220
5241411123333
621531453400
73322545006
oct1027247650
9323048570
10140332968
117223a266
123abb7260
13230c5a79
14148cda76
15c4c0213
hex85d4fa8

140332968 has 96 divisors (see below), whose sum is σ = 389376000. Its totient is φ = 45650304.

The previous prime is 140332967. The next prime is 140332979. The reversal of 140332968 is 869233041.

140332968 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 not an unprimeable number, because it can be changed into a prime (140332963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941758 + ... + 941906.

It is an arithmetic number, because the mean of its divisors is an integer number (4056000).

Almost surely, 2140332968 is an apocalyptic number.

140332968 is a gapful number since it is divisible by the number (18) 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 140332968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194688000).

140332968 is an abundant number, since it is smaller than the sum of its proper divisors (249043032).

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

140332968 is a wasteful number, since it uses less digits than its factorization.

140332968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 140332968 is about 11846.2216761295. The cubic root of 140332968 is about 519.6607353085.

The spelling of 140332968 in words is "one hundred forty million, three hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 127 149 206 254 298 309 381 412 447 508 596 618 762 824 894 927 1016 1143 1192 1236 1341 1524 1788 1854 2286 2472 2682 3048 3576 3708 4572 5364 7416 9144 10728 13081 15347 18923 26162 30694 37846 39243 46041 52324 56769 61388 75692 78486 92082 104648 113538 117729 122776 138123 151384 156972 170307 184164 227076 235458 276246 313944 340614 368328 454152 470916 552492 681228 941832 1104984 1362456 1949069 3898138 5847207 7796276 11694414 15592552 17541621 23388828 35083242 46777656 70166484 140332968