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133483950 = 23452231433
BaseRepresentation
bin1111111010011…
…00110110101110
3100022011200120000
413331030312232
5233132441300
621125005130
73210411015
oct775146656
9308150500
10133483950
1169391516
12388537a6
13218684b2
1413a29a7c
15babac00
hex7f4cdae

133483950 has 120 divisors (see below), whose sum is σ = 387283248. Its totient is φ = 34024320.

The previous prime is 133483943. The next prime is 133483969. The reversal of 133483950 is 59384331.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92434 + ... + 93866.

Almost surely, 2133483950 is an apocalyptic number.

133483950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133483950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193641624).

133483950 is an abundant number, since it is smaller than the sum of its proper divisors (253799298).

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

133483950 is a wasteful number, since it uses less digits than its factorization.

133483950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 133483950 is about 11553.5254359871. The cubic root of 133483950 is about 511.0652474949.

The spelling of 133483950 in words is "one hundred thirty-three million, four hundred eighty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 575 621 675 690 810 1035 1150 1242 1350 1433 1725 1863 2025 2070 2866 3105 3450 3726 4050 4299 5175 6210 7165 8598 9315 10350 12897 14330 15525 18630 21495 25794 31050 32959 35825 38691 42990 46575 64485 65918 71650 77382 93150 98877 107475 116073 128970 164795 193455 197754 214950 232146 296631 322425 329590 386910 494385 580365 593262 644850 823975 889893 967275 988770 1160730 1483155 1647950 1779786 1934550 2471925 2669679 2901825 2966310 4449465 4943850 5339358 5803650 7415775 8898930 13348395 14831550 22247325 26696790 44494650 66741975 133483950