Search a number
-
+
245441070 = 23357177639
BaseRepresentation
bin11101010000100…
…10001000101110
3122002211200212000
432220102020232
51000313103240
640204353130
76040133430
oct1650221056
9562750760
10245441070
111165aa566
126a2457a6
133bb07604
1424850650
1516833430
hexea1222e

245441070 has 128 divisors (see below), whose sum is σ = 792115200. Its totient is φ = 52793856.

The previous prime is 245441059. The next prime is 245441099. The reversal of 245441070 is 70144542.

245441070 is a `hidden beast` number, since 245 + 4 + 410 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28311 + ... + 35949.

It is an arithmetic number, because the mean of its divisors is an integer number (6188400).

Almost surely, 2245441070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245441070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396057600).

245441070 is an abundant number, since it is smaller than the sum of its proper divisors (546674130).

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

245441070 is a wasteful number, since it uses less digits than its factorization.

245441070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 245441070 is about 15666.5589712610. The cubic root of 245441070 is about 626.1077485358.

The spelling of 245441070 in words is "two hundred forty-five million, four hundred forty-one thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 7639 10710 15278 16065 22917 32130 38195 45834 53473 68751 76390 106946 114585 129863 137502 160419 206253 229170 259726 267365 320838 343755 389589 412506 481257 534730 649315 687510 779178 802095 909041 962514 1031265 1168767 1298630 1443771 1604190 1818082 1947945 2062530 2337534 2406285 2727123 2887542 3506301 3895890 4545205 4812570 5454246 5843835 7012602 7218855 8181369 9090410 11687670 13635615 14437710 16362738 17531505 24544107 27271230 35063010 40906845 49088214 81813690 122720535 245441070