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10140256 = 257229223
BaseRepresentation
bin100110101011…
…101001100000
3201002011211001
4212223221200
510043442011
61001201344
7152122300
oct46535140
921064731
1010140256
1157a6585
123490254
132140669
1414bd600
15d547c1
hex9aba60

10140256 has 72 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4177152.

The previous prime is 10140253. The next prime is 10140259. The reversal of 10140256 is 65204101.

It is an interprime number because it is at equal distance from previous prime (10140253) and next prime (10140259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140253) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45361 + ... + 45583.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 210140256 is an apocalyptic number.

10140256 is a gapful number since it is divisible by the number (16) 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 10140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10140256 is an abundant number, since it is smaller than the sum of its proper divisors (13991264).

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

10140256 is a wasteful number, since it uses less digits than its factorization.

10140256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10140256 is about 3184.3768621192. The cubic root of 10140256 is about 216.4460376083.

Adding to 10140256 its reverse (65204101), we get a palindrome (75344357).

The spelling of 10140256 in words is "ten million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 223 224 232 392 406 446 464 784 812 892 928 1421 1561 1568 1624 1784 2842 3122 3248 3568 5684 6244 6467 6496 7136 10927 11368 12488 12934 21854 22736 24976 25868 43708 45269 45472 49952 51736 87416 90538 103472 174832 181076 206944 316883 349664 362152 633766 724304 1267532 1448608 2535064 5070128 10140256