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235312080 = 24352347907
BaseRepresentation
bin11100000011010…
…01001111010000
3121101210002111020
432001221033100
5440214441310
635203315440
75555056023
oct1601511720
9541702436
10235312080
111109114a3
126697bb80
133999c123
14233751ba
15159d2170
hexe0693d0

235312080 has 160 divisors (see below), whose sum is σ = 778235904. Its totient is φ = 58679808.

The previous prime is 235312073. The next prime is 235312081. The reversal of 235312080 is 80213532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 235312080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235312081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258987 + ... + 259893.

Almost surely, 2235312080 is an apocalyptic number.

235312080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389117952).

235312080 is an abundant number, since it is smaller than the sum of its proper divisors (542923824).

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

235312080 is a wasteful number, since it uses less digits than its factorization.

235312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 235312080 is about 15339.8852668460. The cubic root of 235312080 is about 617.3736283000.

The spelling of 235312080 in words is "two hundred thirty-five million, three hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 460 470 552 564 690 705 752 907 920 940 1081 1104 1128 1380 1410 1814 1840 1880 2162 2256 2721 2760 2820 3243 3628 3760 4324 4535 5405 5442 5520 5640 6486 7256 8648 9070 10810 10884 11280 12972 13605 14512 16215 17296 18140 20861 21620 21768 25944 27210 32430 36280 41722 42629 43240 43536 51888 54420 62583 64860 72560 83444 85258 86480 104305 108840 125166 127887 129720 166888 170516 208610 213145 217680 250332 255774 259440 312915 333776 341032 417220 426290 500664 511548 625830 639435 682064 834440 852580 980467 1001328 1023096 1251660 1278870 1668880 1705160 1960934 2046192 2503320 2557740 2941401 3410320 3921868 4902335 5006640 5115480 5882802 7843736 9804670 10230960 11765604 14707005 15687472 19609340 23531208 29414010 39218680 47062416 58828020 78437360 117656040 235312080