Search a number
-
+
70567728 = 24371161313
BaseRepresentation
bin1000011010011…
…00011100110000
311220210012201120
410031030130300
5121031131403
611000302240
71514546550
oct415143460
9156705646
1070567728
1136919640
121b771980
131180a06a
14952d160
1562dde53
hex434c730

70567728 has 160 divisors (see below), whose sum is σ = 231747072. Its totient is φ = 17971200.

The previous prime is 70567723. The next prime is 70567747. The reversal of 70567728 is 82776507.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 70567728.

It is not an unprimeable number, because it can be changed into a prime (70567723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225300 + ... + 225612.

Almost surely, 270567728 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 70567728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115873536).

70567728 is an abundant number, since it is smaller than the sum of its proper divisors (161179344).

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

70567728 is a wasteful number, since it uses less digits than its factorization.

70567728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 70567728 is about 8400.4599874055. The cubic root of 70567728 is about 413.2397070861.

The spelling of 70567728 in words is "seventy million, five hundred sixty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 61 66 77 84 88 112 122 132 154 168 176 183 231 244 264 308 313 336 366 427 462 488 528 616 626 671 732 854 924 939 976 1232 1252 1281 1342 1464 1708 1848 1878 2013 2191 2504 2562 2684 2928 3416 3443 3696 3756 4026 4382 4697 5008 5124 5368 6573 6832 6886 7512 8052 8764 9394 10248 10329 10736 13146 13772 14091 15024 16104 17528 18788 19093 20496 20658 24101 26292 27544 28182 32208 35056 37576 38186 41316 48202 52584 55088 56364 57279 72303 75152 76372 82632 96404 105168 112728 114558 133651 144606 152744 165264 192808 210023 225456 229116 267302 289212 305488 385616 400953 420046 458232 534604 578424 630069 801906 840092 916464 1069208 1156848 1260138 1470161 1603812 1680184 2138416 2520276 2940322 3207624 3360368 4410483 5040552 5880644 6415248 8820966 10081104 11761288 17641932 23522576 35283864 70567728