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250575240 = 2335171131087
BaseRepresentation
bin11101110111101…
…11100110001000
3122110111112121110
432323313212020
51003121401430
640510410320
76131566026
oct1673674610
9573445543
10250575240
11119496983
126bb009a0
133cbb4496
14253c9716
1516ee97b0
hexeef7988

250575240 has 128 divisors (see below), whose sum is σ = 803727360. Its totient is φ = 62275584.

The previous prime is 250575239. The next prime is 250575277. The reversal of 250575240 is 42575052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 250575198 and 250575207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229977 + ... + 231063.

It is an arithmetic number, because the mean of its divisors is an integer number (6279120).

Almost surely, 2250575240 is an apocalyptic number.

250575240 is a gapful number since it is divisible by the number (20) 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 250575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

250575240 is an abundant number, since it is smaller than the sum of its proper divisors (553152120).

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

250575240 is a wasteful number, since it uses less digits than its factorization.

250575240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 250575240 is about 15829.5685348654. The cubic root of 250575240 is about 630.4433261576.

The spelling of 250575240 in words is "two hundred fifty million, five hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 204 226 255 339 340 408 452 510 565 678 680 904 1020 1087 1130 1356 1695 1921 2040 2174 2260 2712 3261 3390 3842 4348 4520 5435 5763 6522 6780 7684 8696 9605 10870 11526 13044 13560 15368 16305 18479 19210 21740 23052 26088 28815 32610 36958 38420 43480 46104 55437 57630 65220 73916 76840 92395 110874 115260 122831 130440 147832 184790 221748 230520 245662 277185 368493 369580 443496 491324 554370 614155 736986 739160 982648 1108740 1228310 1473972 1842465 2088127 2217480 2456620 2947944 3684930 4176254 4913240 6264381 7369860 8352508 10440635 12528762 14739720 16705016 20881270 25057524 31321905 41762540 50115048 62643810 83525080 125287620 250575240