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835672140 = 223551071607
BaseRepresentation
bin110001110011110…
…101100001001100
32011020110112200000
4301303311201030
53202413002030
6214531204300
726465044632
oct6163654114
92136415600
10835672140
11399795936
121b3a46690
13104192874
147cdb3352
154d571860
hex31cf584c

835672140 has 144 divisors (see below), whose sum is σ = 2654975232. Its totient is φ = 220625856.

The previous prime is 835672129. The next prime is 835672141. The reversal of 835672140 is 41276538.

835672140 is a `hidden beast` number, since 83 + 567 + 2 + 14 + 0 = 666.

835672140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 835672095 and 835672104.

It is not an unprimeable number, because it can be changed into a prime (835672141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519217 + ... + 520823.

It is an arithmetic number, because the mean of its divisors is an integer number (18437328).

Almost surely, 2835672140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327487616).

835672140 is an abundant number, since it is smaller than the sum of its proper divisors (1819303092).

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

835672140 is a wasteful number, since it uses less digits than its factorization.

835672140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 835672140 is about 28907.9943960144. The cubic root of 835672140 is about 941.9155671007.

The spelling of 835672140 in words is "eight hundred thirty-five million, six hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 243 270 321 324 405 428 486 535 540 642 810 963 972 1070 1215 1284 1605 1607 1620 1926 2140 2430 2889 3210 3214 3852 4815 4821 4860 5778 6420 6428 8035 8667 9630 9642 11556 14445 14463 16070 17334 19260 19284 24105 26001 28890 28926 32140 34668 43335 43389 48210 52002 57780 57852 72315 86670 86778 96420 104004 130005 130167 144630 171949 173340 173556 216945 260010 260334 289260 343898 390501 433890 515847 520020 520668 650835 687796 781002 859745 867780 1031694 1301670 1547541 1562004 1719490 1952505 2063388 2579235 2603340 3095082 3438980 3905010 4642623 5158470 6190164 7737705 7810020 9285246 10316940 13927869 15475410 18570492 23213115 27855738 30950820 41783607 46426230 55711476 69639345 83567214 92852460 139278690 167134428 208918035 278557380 417836070 835672140