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10188984 = 23313172113
BaseRepresentation
bin100110110111…
…100010111000
3201011122122210
4212313202320
510102021414
61002215120
7152414331
oct46674270
921148583
1010188984
11582a153
1234b44a0
1321598b0
1414d3288
15d63e59
hex9b78b8

10188984 has 96 divisors (see below), whose sum is σ = 29398320. Its totient is φ = 2924544.

The previous prime is 10188973. The next prime is 10188991. The reversal of 10188984 is 48988101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90112 + ... + 90224.

Almost surely, 210188984 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 10188984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699160).

10188984 is an abundant number, since it is smaller than the sum of its proper divisors (19209336).

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

10188984 is a wasteful number, since it uses less digits than its factorization.

10188984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 10188984 is about 3192.0187969371. The cubic root of 10188984 is about 216.7921870979.

The spelling of 10188984 in words is "ten million, one hundred eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 113 136 156 204 221 226 289 312 339 408 442 452 578 663 678 867 884 904 1156 1326 1356 1469 1734 1768 1921 2312 2652 2712 2938 3468 3757 3842 4407 5304 5763 5876 6936 7514 7684 8814 11271 11526 11752 15028 15368 17628 22542 23052 24973 30056 32657 35256 45084 46104 49946 65314 74919 90168 97971 99892 130628 149838 195942 199784 261256 299676 391884 424541 599352 783768 849082 1273623 1698164 2547246 3396328 5094492 10188984