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140528160 = 25325234243
BaseRepresentation
bin10000110000001…
…00101000100000
3100210102120101200
420120010220200
5241433400120
621540001200
73324320043
oct1030045040
9323376350
10140528160
1172362983
123b090200
1323163876
1414940c5a
15c50ce90
hex8604a20

140528160 has 144 divisors (see below), whose sum is σ = 500520384. Its totient is φ = 35836416.

The previous prime is 140528119. The next prime is 140528173. The reversal of 140528160 is 61825041.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30999 + ... + 35241.

It is an arithmetic number, because the mean of its divisors is an integer number (3475836).

Almost surely, 2140528160 is an apocalyptic number.

140528160 is a gapful number since it is divisible by the number (10) 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 140528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250260192).

140528160 is an abundant number, since it is smaller than the sum of its proper divisors (359992224).

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

140528160 is a wasteful number, since it uses less digits than its factorization.

140528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 140528160 is about 11854.4573895223. The cubic root of 140528160 is about 519.9015592747.

The spelling of 140528160 in words is "one hundred forty million, five hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 4243 5520 6624 8280 8486 11040 12729 16560 16972 21215 25458 33120 33944 38187 42430 50916 63645 67888 76374 84860 97589 101832 127290 135776 152748 169720 190935 195178 203664 254580 292767 305496 339440 381870 390356 407328 487945 509160 585534 610992 678880 763740 780712 878301 975890 1018320 1171068 1221984 1463835 1527480 1561424 1756602 1951780 2036640 2342136 2927670 3054960 3122848 3513204 3903560 4391505 4684272 5855340 6109920 7026408 7807120 8783010 9368544 11710680 14052816 15614240 17566020 23421360 28105632 35132040 46842720 70264080 140528160