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29259090 = 23357113137
BaseRepresentation
bin110111110011…
…1010101010010
32001001111221000
41233213111102
524442242330
62523042430
7503461320
oct157472522
961044830
1029259090
1115574873
129970416
1360a5993
143c58d10
15287e560
hex1be7552

29259090 has 128 divisors (see below), whose sum is σ = 90616320. Its totient is φ = 6580224.

The previous prime is 29259089. The next prime is 29259121. The reversal of 29259090 is 9095292.

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 63 ways as a sum of consecutive naturals, for example, 213502 + ... + 213638.

It is an arithmetic number, because the mean of its divisors is an integer number (707940).

Almost surely, 229259090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29259090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45308160).

29259090 is an abundant number, since it is smaller than the sum of its proper divisors (61357230).

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

29259090 is a wasteful number, since it uses less digits than its factorization.

29259090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 29259090 is about 5409.1672187131. The cubic root of 29259090 is about 308.1439213256.

The spelling of 29259090 in words is "twenty-nine million, two hundred fifty-nine thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 113 126 135 137 189 210 226 270 274 315 339 378 411 565 630 678 685 791 822 945 959 1017 1130 1233 1370 1582 1695 1890 1918 2034 2055 2373 2466 2877 3051 3390 3699 3955 4110 4746 4795 5085 5754 6102 6165 7119 7398 7910 8631 9590 10170 11865 12330 14238 14385 15255 15481 17262 18495 21357 23730 25893 28770 30510 30962 35595 36990 42714 43155 46443 51786 71190 77405 86310 92886 106785 108367 129465 139329 154810 213570 216734 232215 258930 278658 325101 417987 464430 541835 650202 696645 835974 975303 1083670 1393290 1625505 1950606 2089935 2925909 3251010 4179870 4876515 5851818 9753030 14629545 29259090