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133058490 = 235172103149
BaseRepresentation
bin1111110111001…
…00111110111010
3100021101001221020
413323210332322
5233030332430
621111523310
73203656425
oct773447672
9307331836
10133058490
11691208a4
1238689536
1321749946
14139589bc
15ba34b10
hex7ee4fba

133058490 has 96 divisors (see below), whose sum is σ = 344822400. Its totient is φ = 32848896.

The previous prime is 133058483. The next prime is 133058503. The reversal of 133058490 is 94850331.

It is a super-2 number, since 2×1330584902 = 35409123522160200, which contains 22 as substring.

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, 892936 + ... + 893084.

It is an arithmetic number, because the mean of its divisors is an integer number (3591900).

Almost surely, 2133058490 is an apocalyptic number.

133058490 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 133058490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172411200).

133058490 is an abundant number, since it is smaller than the sum of its proper divisors (211763910).

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

133058490 is a wasteful number, since it uses less digits than its factorization.

133058490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133058490 is about 11535.0981790360. The cubic root of 133058490 is about 510.5216883956.

It can be divided in two parts, 13 and 3058490, that added together give a palindrome (3058503).

The spelling of 133058490 in words is "one hundred thirty-three million, fifty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 103 149 170 206 255 289 298 309 447 510 515 578 618 745 867 894 1030 1445 1490 1545 1734 1751 2235 2533 2890 3090 3502 4335 4470 5066 5253 7599 8670 8755 10506 12665 15198 15347 17510 25330 26265 29767 30694 37995 43061 46041 52530 59534 75990 76735 86122 89301 92082 129183 148835 153470 178602 215305 230205 258366 260899 297670 430610 446505 460410 521798 645915 782697 893010 1291830 1304495 1565394 2608990 3913485 4435283 7826970 8870566 13305849 22176415 26611698 44352830 66529245 133058490