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10099404 = 223476173
BaseRepresentation
bin100110100001…
…101011001100
3201000002210000
4212201223030
510041140104
61000244300
7151562220
oct46415314
921002700
1010099404
115778917
123470690
132127ba3
1414ac780
15d47639
hex9a1acc

10099404 has 120 divisors (see below), whose sum is σ = 31088288. Its totient is φ = 2799360.

The previous prime is 10099403. The next prime is 10099429. The reversal of 10099404 is 40499001.

It is a super-2 number, since 2×100994042 = 203995922310432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10099403) 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 39 ways as a sum of consecutive naturals, for example, 138312 + ... + 138384.

Almost surely, 210099404 is an apocalyptic number.

10099404 is a gapful number since it is divisible by the number (14) 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 10099404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544144).

10099404 is an abundant number, since it is smaller than the sum of its proper divisors (20988884).

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

10099404 is a wasteful number, since it uses less digits than its factorization.

10099404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10099404 is about 3177.9559468312. The cubic root of 10099404 is about 216.1549813659.

The spelling of 10099404 in words is "ten million, ninety-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 73 81 84 108 122 126 146 162 183 189 219 244 252 292 324 366 378 427 438 511 549 567 657 732 756 854 876 1022 1098 1134 1281 1314 1533 1647 1708 1971 2044 2196 2268 2562 2628 3066 3294 3843 3942 4453 4599 4941 5124 5913 6132 6588 7686 7884 8906 9198 9882 11529 11826 13359 13797 15372 17812 18396 19764 23058 23652 26718 27594 31171 34587 40077 41391 46116 53436 55188 62342 69174 80154 82782 93513 120231 124684 138348 160308 165564 187026 240462 280539 360693 374052 480924 561078 721386 841617 1122156 1442772 1683234 2524851 3366468 5049702 10099404