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705405140 = 2251117474013
BaseRepresentation
bin101010000010111…
…010000011010100
31211011100021221022
4222002322003110
52421040431030
6153555140312
723323562516
oct5202720324
91734307838
10705405140
11332201360
121782a4698
13b31b26bb
1469983bb6
1541dddde5
hex2a0ba0d4

705405140 has 96 divisors (see below), whose sum is σ = 1747920384. Its totient is φ = 236226560.

The previous prime is 705405137. The next prime is 705405149. The reversal of 705405140 is 41504507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705405149) 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, 173774 + ... + 177786.

It is an arithmetic number, because the mean of its divisors is an integer number (18207504).

Almost surely, 2705405140 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 705405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873960192).

705405140 is an abundant number, since it is smaller than the sum of its proper divisors (1042515244).

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

705405140 is a wasteful number, since it uses less digits than its factorization.

705405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 705405140 is about 26559.4642265238. The cubic root of 705405140 is about 890.1834995957.

Adding to 705405140 its reverse (41504507), we get a palindrome (746909647).

The spelling of 705405140 in words is "seven hundred five million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 170 187 188 220 235 340 374 470 517 748 799 935 940 1034 1598 1870 2068 2585 3196 3740 3995 4013 5170 7990 8026 8789 10340 15980 16052 17578 20065 35156 40130 43945 44143 68221 80260 87890 88286 136442 175780 176572 188611 220715 272884 341105 377222 441430 682210 750431 754444 882860 943055 1364420 1500862 1886110 2074721 3001724 3206387 3752155 3772220 4149442 6412774 7504310 8298884 10373605 12825548 15008620 16031935 20747210 32063870 35270257 41494420 64127740 70540514 141081028 176351285 352702570 705405140