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857015040 = 2835731883
BaseRepresentation
bin110011000101010…
…000001100000000
32012201121212121210
4303011100030000
53223343440130
6221012450120
730144336060
oct6305201400
92181555553
10857015040
113aa8430a2
121bb019940
131087262bb
1481b6b3a0
155038a5b0
hex33150300

857015040 has 144 divisors (see below), whose sum is σ = 3128203008. Its totient is φ = 195883008.

The previous prime is 857015017. The next prime is 857015059. The reversal of 857015040 is 40510758.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 857014989 and 857015007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10939 + ... + 42821.

It is an arithmetic number, because the mean of its divisors is an integer number (21723632).

Almost surely, 2857015040 is an apocalyptic number.

857015040 is a gapful number since it is divisible by the number (80) 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 857015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564101504).

857015040 is an abundant number, since it is smaller than the sum of its proper divisors (2271187968).

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

857015040 is a wasteful number, since it uses less digits than its factorization.

857015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31914 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 857015040 is about 29274.8192137885. The cubic root of 857015040 is about 949.8670321747.

Adding to 857015040 its reverse (40510758), we get a palindrome (897525798).

The spelling of 857015040 in words is "eight hundred fifty-seven million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 31883 63766 95649 127532 159415 191298 223181 255064 318830 382596 446362 478245 510128 637660 669543 765192 892724 956490 1020256 1115905 1275320 1339086 1530384 1785448 1912980 2040512 2231810 2550640 2678172 3060768 3347715 3570896 3825960 4081024 4463620 5101280 5356344 6121536 6695430 7141792 7651920 8162048 8927240 10202560 10712688 12243072 13390860 14283584 15303840 17854480 20405120 21425376 24486144 26781720 28567168 30607680 35708960 40810240 42850752 53563440 57134336 61215360 71417920 85701504 107126880 122430720 142835840 171403008 214253760 285671680 428507520 857015040