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10670490 = 2325532237
BaseRepresentation
bin101000101101…
…000110011010
3202002010011100
4220231012122
510212423430
61020412230
7156461205
oct50550632
922063140
1010670490
116028996
1236a7076
132297acc
1415ba93c
15e0b960
hexa2d19a

10670490 has 48 divisors (see below), whose sum is σ = 28279368. Its totient is φ = 2790528.

The previous prime is 10670489. The next prime is 10670497. The reversal of 10670490 is 9407601.

10670490 is a `hidden beast` number, since 106 + 70 + 490 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10284849 + 385641 = 3207^2 + 621^2 .

It is a super-2 number, since 2×106704902 = 227718713680200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10670497) 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 23 ways as a sum of consecutive naturals, for example, 3652 + ... + 5888.

Almost surely, 210670490 is an apocalyptic number.

10670490 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 10670490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139684).

10670490 is an abundant number, since it is smaller than the sum of its proper divisors (17608878).

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

10670490 is a wasteful number, since it uses less digits than its factorization.

10670490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10670490 is about 3266.5715972561. The cubic root of 10670490 is about 220.1547808856.

The spelling of 10670490 in words is "ten million, six hundred seventy thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2237 2385 4474 4770 6711 11185 13422 20133 22370 33555 40266 67110 100665 118561 201330 237122 355683 592805 711366 1067049 1185610 1778415 2134098 3556830 5335245 10670490