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133729470 = 23257375737
BaseRepresentation
bin1111111100010…
…00110010111110
3100022122011100100
413332020302332
5233213320340
621134141530
73212452560
oct776106276
9308564310
10133729470
1169539a26
12389518a6
1321923184
1413a91330
15bb18830
hex7f88cbe

133729470 has 96 divisors (see below), whose sum is σ = 408178368. Its totient is φ = 29735424.

The previous prime is 133729457. The next prime is 133729481. The reversal of 133729470 is 74927331.

It is a super-2 number, since 2×1337294702 = 35767142292961800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20442 + ... + 26178.

It is an arithmetic number, because the mean of its divisors is an integer number (4251858).

Almost surely, 2133729470 is an apocalyptic number.

133729470 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 133729470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204089184).

133729470 is an abundant number, since it is smaller than the sum of its proper divisors (274448898).

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

133729470 is a wasteful number, since it uses less digits than its factorization.

133729470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 133729470 is about 11564.1458828571. The cubic root of 133729470 is about 511.3783934758.

The spelling of 133729470 in words is "one hundred thirty-three million, seven hundred twenty-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 5737 7770 11474 11655 17211 23310 28685 34422 40159 51633 57370 80318 86055 103266 120477 172110 200795 212269 240954 258165 361431 401590 424538 516330 602385 636807 722862 1061345 1204770 1273614 1485883 1807155 1910421 2122690 2971766 3184035 3614310 3820842 4457649 6368070 7429415 8915298 9552105 13372947 14858830 19104210 22288245 26745894 44576490 66864735 133729470