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10090704 = 24313103157
BaseRepresentation
bin100110011111…
…100011010000
3200222122211210
4212133203100
510040400304
61000140120
7151524651
oct46374320
920878753
1010090704
115772328
123467640
132123c40
1414a9528
15d44c89
hex99f8d0

10090704 has 80 divisors (see below), whose sum is σ = 28525952. Its totient is φ = 3055104.

The previous prime is 10090699. The next prime is 10090709. The reversal of 10090704 is 40709001.

10090704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10090699) and next prime (10090709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10090709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64194 + ... + 64350.

Almost surely, 210090704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262976).

10090704 is an abundant number, since it is smaller than the sum of its proper divisors (18435248).

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

10090704 is a wasteful number, since it uses less digits than its factorization.

10090704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10090704 is about 3176.5868475456. The cubic root of 10090704 is about 216.0928955706.

Adding to 10090704 its reverse (40709001), we get a palindrome (50799705).

The spelling of 10090704 in words is "ten million, ninety thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 157 206 208 309 312 314 412 471 618 624 628 824 942 1236 1256 1339 1648 1884 2041 2472 2512 2678 3768 4017 4082 4944 5356 6123 7536 8034 8164 10712 12246 16068 16171 16328 21424 24492 32136 32342 32656 48513 48984 64272 64684 97026 97968 129368 194052 210223 258736 388104 420446 630669 776208 840892 1261338 1681784 2522676 3363568 5045352 10090704