Search a number
-
+
1240730880 = 2835973331
BaseRepresentation
bin100100111110100…
…0000110100000000
310012110122122210120
41021331000310000
510020111342010
6323041100240
742514016124
oct11175006400
93173578716
101240730880
115873a6524
122a7627680
1316a0858ac
14baad3584
1573dd3e70
hex49f40d00

1240730880 has 144 divisors (see below), whose sum is σ = 4004637504. Its totient is φ = 327352320.

The previous prime is 1240730833. The next prime is 1240730899. The reversal of 1240730880 is 880370421.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 370815 + ... + 374145.

Almost surely, 21240730880 is an apocalyptic number.

1240730880 is a gapful number since it is divisible by the number (10) 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 1240730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002318752).

1240730880 is an abundant number, since it is smaller than the sum of its proper divisors (2763906624).

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

1240730880 is an equidigital number, since it uses as much as digits as its factorization.

1240730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1240730880 is about 35224.0099931850. The cubic root of 1240730880 is about 1074.5481078857.

The spelling of 1240730880 in words is "one billion, two hundred forty million, seven hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 582 640 768 776 960 970 1164 1280 1455 1552 1920 1940 2328 2910 3104 3331 3840 3880 4656 5820 6208 6662 7760 9312 9993 11640 12416 13324 15520 16655 18624 19986 23280 24832 26648 31040 33310 37248 39972 46560 49965 53296 62080 66620 74496 79944 93120 99930 106592 124160 133240 159888 186240 199860 213184 266480 319776 323107 372480 399720 426368 532960 639552 646214 799440 852736 969321 1065920 1279104 1292428 1598880 1615535 1938642 2131840 2558208 2584856 3197760 3231070 3877284 4263680 4846605 5169712 6395520 6462140 7754568 9693210 10339424 12791040 12924280 15509136 19386420 20678848 25848560 31018272 38772840 41357696 51697120 62036544 77545680 82715392 103394240 124073088 155091360 206788480 248146176 310182720 413576960 620365440 1240730880