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840082040 = 235737131619
BaseRepresentation
bin110010000100101…
…010001001111000
32011112202120220122
4302010222021320
53210030111130
6215205512412
726550402530
oct6204521170
92145676818
10840082040
113a1228086
121b5412708
13105077b85
147d8004c0
154db432e5
hex3212a278

840082040 has 128 divisors (see below), whose sum is σ = 2239142400. Its totient is φ = 277655040.

The previous prime is 840082031. The next prime is 840082043. The reversal of 840082040 is 40280048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840082043) 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, 1356851 + ... + 1357469.

It is an arithmetic number, because the mean of its divisors is an integer number (17493300).

Almost surely, 2840082040 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 840082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

840082040 is an abundant number, since it is smaller than the sum of its proper divisors (1399060360).

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

840082040 is a wasteful number, since it uses less digits than its factorization.

840082040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 840082040 is about 28984.1687822853. The cubic root of 840082040 is about 943.5695124930.

The spelling of 840082040 in words is "eight hundred forty million, eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 131 140 148 185 259 262 280 296 370 518 524 619 655 740 917 1036 1048 1238 1295 1310 1480 1834 2072 2476 2590 2620 3095 3668 4333 4585 4847 4952 5180 5240 6190 7336 8666 9170 9694 10360 12380 17332 18340 19388 21665 22903 24235 24760 33929 34664 36680 38776 43330 45806 48470 67858 81089 86660 91612 96940 114515 135716 160321 162178 169645 173320 183224 193880 229030 271432 320642 324356 339290 405445 458060 567623 641284 648712 678580 801605 810890 916120 1135246 1282568 1357160 1603210 1621780 2270492 2838115 3000293 3206420 3243560 4540984 5676230 6000586 6412840 11352460 12001172 15001465 21002051 22704920 24002344 30002930 42004102 60005860 84008204 105010255 120011720 168016408 210020510 420041020 840082040