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857703040 = 27517312543
BaseRepresentation
bin110011000111111…
…000001010000000
32012202220211101021
4303013320022000
53224032444130
6221035315224
730153232645
oct6307701200
92182824337
10857703040
11400172a97
121bb2abb14
131089074bc
1481ca9dcc
155047437a
hex331f8280

857703040 has 128 divisors (see below), whose sum is σ = 2241976320. Its totient is φ = 312360960.

The previous prime is 857703037. The next prime is 857703107. The reversal of 857703040 is 40307758.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 857702987 and 857703005.

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, 336009 + ... + 338551.

It is an arithmetic number, because the mean of its divisors is an integer number (17515440).

Almost surely, 2857703040 is an apocalyptic number.

857703040 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 857703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120988160).

857703040 is an abundant number, since it is smaller than the sum of its proper divisors (1384273280).

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

857703040 is a wasteful number, since it uses less digits than its factorization.

857703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 857703040 is about 29286.5675694507. The cubic root of 857703040 is about 950.1211442924.

The spelling of 857703040 in words is "eight hundred fifty-seven million, seven hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 128 136 155 160 170 248 272 310 320 340 496 527 544 620 640 680 992 1054 1088 1240 1360 1984 2108 2176 2480 2543 2635 2720 3968 4216 4960 5086 5270 5440 8432 9920 10172 10540 10880 12715 16864 19840 20344 21080 25430 33728 40688 42160 43231 50860 67456 78833 81376 84320 86462 101720 157666 162752 168640 172924 203440 216155 315332 325504 337280 345848 394165 406880 432310 630664 691696 788330 813760 864620 1261328 1340161 1383392 1576660 1627520 1729240 2522656 2680322 2766784 3153320 3458480 5045312 5360644 5533568 6306640 6700805 6916960 10090624 10721288 12613280 13401610 13833920 21442576 25226560 26803220 27667840 42885152 50453120 53606440 85770304 107212880 171540608 214425760 428851520 857703040