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140326272 = 2732412971
BaseRepresentation
bin10000101110100…
…11010110000000
3100210001022110100
420113103112000
5241410420042
621531402400
73322516332
oct1027232600
9323038410
10140326272
1172235229
123abb3400
13230c29c8
14148cb452
15c4bd24c
hex85d3580

140326272 has 96 divisors (see below), whose sum is σ = 413791560. Its totient is φ = 45619200.

The previous prime is 140326213. The next prime is 140326297. The reversal of 140326272 is 272623041.

140326272 is a `hidden beast` number, since 1 + 4 + 0 + 32 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1403262722 = 39382925226835968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45747 + ... + 48717.

Almost surely, 2140326272 is an apocalyptic number.

140326272 is a gapful number since it is divisible by the number (12) 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 140326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206895780).

140326272 is an abundant number, since it is smaller than the sum of its proper divisors (273465288).

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

140326272 is a wasteful number, since it uses less digits than its factorization.

140326272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 140326272 is about 11845.9390509997. The cubic root of 140326272 is about 519.6524699577.

The spelling of 140326272 in words is "one hundred forty million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 2971 3936 5248 5904 5942 7872 8913 11808 11884 15744 17826 23616 23768 26739 35652 47232 47536 53478 71304 95072 106956 121811 142608 190144 213912 243622 285216 365433 380288 427824 487244 570432 730866 855648 974488 1096299 1140864 1461732 1711296 1948976 2192598 2923464 3422592 3897952 4385196 5846928 7795904 8770392 11693856 15591808 17540784 23387712 35081568 46775424 70163136 140326272