Search a number
-
+
1040631030 = 2335171911187
BaseRepresentation
bin111110000001101…
…100010011110110
32200112010112102000
4332001230103312
54112400143110
6251132200130
734534134465
oct7601542366
92615115360
101040631030
1149445554a
12250609046
1313779500a
149c2c69dc
156155a1c0
hex3e06c4f6

1040631030 has 128 divisors (see below), whose sum is σ = 2956124160. Its totient is φ = 259591680.

The previous prime is 1040631029. The next prime is 1040631037. The reversal of 1040631030 is 301360401.

1040631030 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 631 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1040630994 and 1040631012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040631037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876097 + ... + 877283.

It is an arithmetic number, because the mean of its divisors is an integer number (23094720).

Almost surely, 21040631030 is an apocalyptic number.

1040631030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040631030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478062080).

1040631030 is an abundant number, since it is smaller than the sum of its proper divisors (1915493130).

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

1040631030 is a wasteful number, since it uses less digits than its factorization.

1040631030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1040631030 is about 32258.8132143760. The cubic root of 1040631030 is about 1013.3642771262.

Adding to 1040631030 its reverse (301360401), we get a palindrome (1341991431).

The spelling of 1040631030 in words is "one billion, forty million, six hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 191 255 270 306 382 459 510 573 765 918 955 1146 1187 1530 1719 1910 2295 2374 2865 3247 3438 3561 4590 5157 5730 5935 6494 7122 8595 9741 10314 10683 11870 16235 17190 17805 19482 20179 21366 25785 29223 32049 32470 35610 40358 48705 51570 53415 58446 60537 64098 87669 97410 100895 106830 121074 146115 160245 175338 181611 201790 226717 292230 302685 320490 363222 438345 453434 544833 605370 680151 876690 908055 1089666 1133585 1360302 1816110 2040453 2267170 2724165 3400755 3854189 4080906 5448330 6121359 6801510 7708378 10202265 11562567 12242718 19270945 20404530 23125134 30606795 34687701 38541890 57812835 61213590 69375402 104063103 115625670 173438505 208126206 346877010 520315515 1040631030