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475880130 = 233511163983
BaseRepresentation
bin11100010111010…
…101101011000010
31020011110012211000
4130113111223002
51433311131010
6115115432430
714535625425
oct3427255302
91204405730
10475880130
11224692870
12113455716
137778b69b
14472b79bc
152bba17c0
hex1c5d5ac2

475880130 has 128 divisors (see below), whose sum is σ = 1394288640. Its totient is φ = 114540480.

The previous prime is 475880107. The next prime is 475880131. The reversal of 475880130 is 31088574.

475880130 is a `hidden beast` number, since 47 + 588 + 0 + 1 + 30 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (475880131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483619 + ... + 484601.

It is an arithmetic number, because the mean of its divisors is an integer number (10892880).

Almost surely, 2475880130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475880130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697144320).

475880130 is an abundant number, since it is smaller than the sum of its proper divisors (918408510).

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

475880130 is a wasteful number, since it uses less digits than its factorization.

475880130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 475880130 is about 21814.6769400787. The cubic root of 475880130 is about 780.7269849382.

The spelling of 475880130 in words is "four hundred seventy-five million, eight hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 163 165 198 270 297 326 330 489 495 594 815 978 983 990 1467 1485 1630 1793 1966 2445 2934 2949 2970 3586 4401 4890 4915 5379 5898 7335 8802 8847 8965 9830 10758 10813 14670 14745 16137 17694 17930 21626 22005 26541 26895 29490 32274 32439 44010 44235 48411 53082 53790 54065 64878 80685 88470 96822 97317 108130 132705 160229 161370 162195 194634 242055 265410 291951 320458 324390 480687 484110 486585 583902 801145 961374 973170 1442061 1459755 1602290 1762519 2403435 2884122 2919510 3525038 4326183 4806870 5287557 7210305 8652366 8812595 10575114 14420610 15862671 17625190 21630915 26437785 31725342 43261830 47588013 52875570 79313355 95176026 158626710 237940065 475880130