Search a number
-
+
239978830680 = 233351032157307
BaseRepresentation
bin1101111101111111011…
…0100101101101011000
3211221102112111201011000
43133133312211231120
512412434040040210
6302124511105000
723223620255451
oct3373766455530
9757375451130
10239978830680
1192857880436
123a614512160
1319825b9bcc4
14b88793c128
156398178ac0
hex37dfda5b58

239978830680 has 128 divisors (see below), whose sum is σ = 807696115200. Its totient is φ = 63373021056.

The previous prime is 239978830657. The next prime is 239978830711. The reversal of 239978830680 is 86038879932.

239978830680 is a `hidden beast` number, since 239 + 97 + 8 + 8 + 306 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967414 + ... + 1189893.

It is an arithmetic number, because the mean of its divisors is an integer number (6310125900).

Almost surely, 2239978830680 is an apocalyptic number.

239978830680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

239978830680 is an abundant number, since it is smaller than the sum of its proper divisors (567717284520).

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

239978830680 is a wasteful number, since it uses less digits than its factorization.

239978830680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157430 (or 2157420 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 239978830680 in words is "two hundred thirty-nine billion, nine hundred seventy-eight million, eight hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3708 4120 4635 5562 6180 7416 9270 11124 12360 13905 18540 22248 27810 37080 55620 111240 2157307 4314614 6471921 8629228 10786535 12943842 17258456 19415763 21573070 25887684 32359605 38831526 43146140 51775368 58247289 64719210 77663052 86292280 97078815 116494578 129438420 155326104 194157630 222202621 232989156 258876840 291236445 388315260 444405242 465978312 582472890 666607863 776630520 888810484 1111013105 1164945780 1333215726 1777620968 1999823589 2222026210 2329891560 2666431452 3333039315 3999647178 4444052420 5332862904 5999470767 6666078630 7999294356 8888104840 9999117945 11998941534 13332157260 15998588712 19998235890 23997883068 26664314520 29997353835 39996471780 47995766136 59994707670 79992943560 119989415340 239978830680