Search a number
-
+
240650640 = 243251719661
BaseRepresentation
bin11100101100000…
…00100110010000
3121202211022121200
432112000212100
5443101310030
635513551200
75651332236
oct1626004620
9552738550
10240650640
1111392842a
1268715500
133ab1b039
1423d64956
15161d8d60
hexe580990

240650640 has 120 divisors (see below), whose sum is σ = 855768888. Its totient is φ = 60395520.

The previous prime is 240650639. The next prime is 240650651. The reversal of 240650640 is 46056042.

It is a happy number.

240650640 is a `hidden beast` number, since 2 + 4 + 0 + 650 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 185831424 = 7404^2 + 13632^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410 + ... + 22070.

Almost surely, 2240650640 is an apocalyptic number.

240650640 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 240650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427884444).

240650640 is an abundant number, since it is smaller than the sum of its proper divisors (615118248).

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

240650640 is a wasteful number, since it uses less digits than its factorization.

240650640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 240650640 is about 15512.9184875058. The cubic root of 240650640 is about 622.0075749604.

The spelling of 240650640 in words is "two hundred forty million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 19661 39322 58983 78644 98305 117966 157288 176949 196610 235932 294915 314576 334237 353898 393220 471864 589830 668474 707796 786440 884745 943728 1002711 1179660 1336948 1415592 1572880 1671185 1769490 2005422 2359320 2673896 2831184 3008133 3342370 3538980 4010844 4718640 5013555 5347792 6016266 6684740 7077960 8021688 10027110 12032532 13369480 14155920 15040665 16043376 20054220 24065064 26738960 30081330 40108440 48130128 60162660 80216880 120325320 240650640