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1240214010 = 235727331151
BaseRepresentation
bin100100111101100…
…0010100111111010
310012102200101210020
41021323002213322
510014443322020
6323022031310
742506434200
oct11173024772
93172611706
101240214010
11587083162
122a7418536
13169c34559
14ba9db070
1573d30c40
hex49ec29fa

1240214010 has 96 divisors (see below), whose sum is σ = 3470211072. Its totient is φ = 282844800.

The previous prime is 1240213979. The next prime is 1240214011. The reversal of 1240214010 is 104120421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1240214011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1076935 + ... + 1078085.

It is an arithmetic number, because the mean of its divisors is an integer number (36148032).

Almost surely, 21240214010 is an apocalyptic number.

1240214010 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 1240214010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735105536).

1240214010 is an abundant number, since it is smaller than the sum of its proper divisors (2229997062).

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

1240214010 is a wasteful number, since it uses less digits than its factorization.

1240214010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1240214010 is about 35216.6723300201. The cubic root of 1240214010 is about 1074.3988735832.

Adding to 1240214010 its reverse (104120421), we get a palindrome (1344334431).

The spelling of 1240214010 in words is "one billion, two hundred forty million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 733 735 1151 1466 1470 2199 2302 3453 3665 4398 5131 5755 6906 7330 8057 10262 10995 11510 15393 16114 17265 21990 24171 25655 30786 34530 35917 40285 48342 51310 56399 71834 76965 80570 107751 112798 120855 153930 169197 179585 215502 241710 281995 338394 359170 538755 563990 843683 845985 1077510 1687366 1691970 2531049 4218415 5062098 5905781 8436830 11811562 12655245 17717343 25310490 29528905 35434686 41340467 59057810 82680934 88586715 124021401 177173430 206702335 248042802 413404670 620107005 1240214010