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238489680 = 243511136949
BaseRepresentation
bin11100011011100…
…01000001010000
3121121202112100010
432031301001100
5442023132210
635355354520
75624062122
oct1615610120
9547675303
10238489680
11112691910
1267a52a40
133a542570
1423961212
1515e0d920
hexe371050

238489680 has 160 divisors (see below), whose sum is σ = 868694400. Its totient is φ = 53360640.

The previous prime is 238489673. The next prime is 238489681. The reversal of 238489680 is 86984832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238489681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30846 + ... + 37794.

It is an arithmetic number, because the mean of its divisors is an integer number (5429340).

Almost surely, 2238489680 is an apocalyptic number.

238489680 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 238489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434347200).

238489680 is an abundant number, since it is smaller than the sum of its proper divisors (630204720).

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

238489680 is a wasteful number, since it uses less digits than its factorization.

238489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 238489680 is about 15443.1110855294. Note that the first 3 decimals coincide. The cubic root of 238489680 is about 620.1401694874.

The spelling of 238489680 in words is "two hundred thirty-eight million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 6949 8580 11440 13898 17160 20847 27796 34320 34745 41694 55592 69490 76439 83388 90337 104235 111184 138980 152878 166776 180674 208470 229317 271011 277960 305756 333552 361348 382195 416940 451685 458634 542022 555920 611512 722696 764390 833880 903370 917268 993707 1084044 1146585 1223024 1355055 1445392 1528780 1667760 1806740 1834536 1987414 2168088 2293170 2710110 2981121 3057560 3613480 3669072 3974828 4336176 4586340 4968535 5420220 5962242 6115120 7226960 7949656 9172680 9937070 10840440 11924484 14905605 15899312 18345360 19874140 21680880 23848968 29811210 39748280 47697936 59622420 79496560 119244840 238489680