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10491040 = 2557171929
BaseRepresentation
bin101000000001…
…010010100000
3201202000000001
4220001102200
510141203130
61012505344
7155113060
oct50012240
921660001
1010491040
115a1608a
12361b254
132234221
1415713a0
15dc36ca
hexa014a0

10491040 has 192 divisors, whose sum is σ = 32659200. Its totient is φ = 3096576.

The previous prime is 10491037. The next prime is 10491043. The reversal of 10491040 is 4019401.

It is an interprime number because it is at equal distance from previous prime (10491037) and next prime (10491043).

It is a super-2 number, since 2×104910402 = 220123840563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10490999 and 10491017.

It is not an unprimeable number, because it can be changed into a prime (10491043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361746 + ... + 361774.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 210491040 is an apocalyptic number.

10491040 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 10491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10491040 is an abundant number, since it is smaller than the sum of its proper divisors (22168160).

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

10491040 is a wasteful number, since it uses less digits than its factorization.

10491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10491040 is about 3238.9874961166. The cubic root of 10491040 is about 218.9136527745.

The spelling of 10491040 in words is "ten million, four hundred ninety-one thousand, forty".