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133027740 = 223251997401
BaseRepresentation
bin1111110110111…
…01011110011100
3100021022111202100
413323131132130
5233023341430
621111125100
73203500656
oct773353634
9307274670
10133027740
11690aa78a
1238673790
1321738951
141394b6d6
15ba2a960
hex7edd79c

133027740 has 144 divisors (see below), whose sum is σ = 430204320. Its totient is φ = 33177600.

The previous prime is 133027733. The next prime is 133027757. The reversal of 133027740 is 47720331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331540 + ... + 331940.

It is an arithmetic number, because the mean of its divisors is an integer number (2987530).

Almost surely, 2133027740 is an apocalyptic number.

133027740 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 133027740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215102160).

133027740 is an abundant number, since it is smaller than the sum of its proper divisors (297176580).

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

133027740 is a wasteful number, since it uses less digits than its factorization.

133027740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 133027740 is about 11533.7652134938. The cubic root of 133027740 is about 510.4823579443.

The spelling of 133027740 in words is "one hundred thirty-three million, twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 97 114 171 180 190 194 228 285 291 342 380 388 401 485 570 582 684 802 855 873 970 1140 1164 1203 1455 1604 1710 1746 1843 1940 2005 2406 2910 3420 3492 3609 3686 4010 4365 4812 5529 5820 6015 7218 7372 7619 8020 8730 9215 11058 12030 14436 15238 16587 17460 18045 18430 22116 22857 24060 27645 30476 33174 36090 36860 38095 38897 45714 55290 66348 68571 72180 76190 77794 82935 91428 110580 114285 116691 137142 152380 155588 165870 194485 228570 233382 274284 331740 342855 350073 388970 457140 466764 583455 685710 700146 739043 777940 1166910 1371420 1400292 1478086 1750365 2217129 2333820 2956172 3500730 3695215 4434258 6651387 7001460 7390430 8868516 11085645 13302774 14780860 22171290 26605548 33256935 44342580 66513870 133027740