Search a number
-
+
701670240 = 253251728663
BaseRepresentation
bin101001110100101…
…010001101100000
31210220022112121200
4221310222031200
52414111421430
6153343121200
723250045555
oct5164521540
91726275550
10701670240
11330090267
12176ba3200
13b24a56bb
1469290a2c
1541902460
hex29d2a360

701670240 has 144 divisors (see below), whose sum is σ = 2535388128. Its totient is φ = 176099328.

The previous prime is 701670239. The next prime is 701670241. The reversal of 701670240 is 42076107.

It is an interprime number because it is at equal distance from previous prime (701670239) and next prime (701670241).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7016702402 = 984682251403315200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701670241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10149 + ... + 38811.

It is an arithmetic number, because the mean of its divisors is an integer number (17606862).

Almost surely, 2701670240 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 701670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267694064).

701670240 is an abundant number, since it is smaller than the sum of its proper divisors (1833717888).

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

701670240 is a wasteful number, since it uses less digits than its factorization.

701670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28701 (or 28690 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 701670240 is about 26489.0588734292. The cubic root of 701670240 is about 888.6096373727.

The spelling of 701670240 in words is "seven hundred one million, six hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 28663 57326 85989 114652 143315 171978 229304 257967 286630 343956 429945 458608 487271 515934 573260 687912 859890 917216 974542 1031868 1146520 1289835 1375824 1461813 1719780 1949084 2063736 2293040 2436355 2579670 2751648 2923626 3439560 3898168 4127472 4385439 4586080 4872710 5159340 5847252 6879120 7309065 7796336 8254944 8770878 9745420 10318680 11694504 13758240 14618130 15592672 17541756 19490840 20637360 21927195 23389008 29236260 35083512 38981680 41274720 43854390 46778016 58472520 70167024 77963360 87708780 116945040 140334048 175417560 233890080 350835120 701670240