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10140480 = 263257503
BaseRepresentation
bin100110101011…
…101101000000
3201002012010100
4212223231000
510043443410
61001202400
7152123040
oct46535500
921065110
1010140480
1157a6769
123490400
1321407ac
1414bd720
15d548c0
hex9abb40

10140480 has 168 divisors, whose sum is σ = 39940992. Its totient is φ = 2313216.

The previous prime is 10140469. The next prime is 10140499. The reversal of 10140480 is 8404101.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 19909 + ... + 20411.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 210140480 is an apocalyptic number.

10140480 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 10140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

10140480 is an abundant number, since it is smaller than the sum of its proper divisors (29800512).

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

10140480 is a wasteful number, since it uses less digits than its factorization.

10140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10140480 is about 3184.4120336414. The cubic root of 10140480 is about 216.4476313733.

Adding to 10140480 its reverse (8404101), we get a palindrome (18544581).

The spelling of 10140480 in words is "ten million, one hundred forty thousand, four hundred eighty".