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133097090 = 25719223229
BaseRepresentation
bin1111110111011…
…10011010000010
3100021110000212212
413323232122002
5233033101330
621112422122
73204210110
oct773563202
9307400785
10133097090
11691478a5
12386a7942
1321761399
1413968ab0
15ba41295
hex7eee682

133097090 has 96 divisors (see below), whose sum is σ = 302849280. Its totient is φ = 41171328.

The previous prime is 133097053. The next prime is 133097149. The reversal of 133097090 is 90790331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581096 + ... + 581324.

It is an arithmetic number, because the mean of its divisors is an integer number (3154680).

Almost surely, 2133097090 is an apocalyptic number.

133097090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133097090 is an abundant number, since it is smaller than the sum of its proper divisors (169752190).

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

133097090 is a wasteful number, since it uses less digits than its factorization.

133097090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 32.

The square root of 133097090 is about 11536.7712120853. The cubic root of 133097090 is about 510.5710507272.

The spelling of 133097090 in words is "one hundred thirty-three million, ninety-seven thousand, ninety".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 229 230 266 322 361 437 458 665 722 805 874 1145 1330 1603 1610 1805 2185 2290 2527 3059 3206 3610 4351 4370 5054 5267 6118 8015 8303 8702 10534 12635 15295 16030 16606 21755 25270 26335 30457 30590 36869 41515 43510 52670 58121 60914 73738 82669 83030 100073 116242 152285 165338 184345 200146 290605 304570 368690 413345 500365 578683 581210 700511 826690 1000730 1157366 1401022 1901387 2893415 3502555 3802774 5786830 7005110 9506935 13309709 19013870 26619418 66548545 133097090