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10153998 = 235171229
BaseRepresentation
bin100110101111…
…000000001110
3201002212200000
4212233000032
510044411443
61001345130
7152210331
oct46570016
921085600
1010153998
115805938
1234981a6
1321469aa
1414c4618
15d588d3
hex9af00e

10153998 has 48 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 3182976.

The previous prime is 10153993. The next prime is 10154047. The reversal of 10153998 is 89935101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153991) 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, 7648 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 210153998 is an apocalyptic number.

10153998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

10153998 is an abundant number, since it is smaller than the sum of its proper divisors (14022882).

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

10153998 is a wasteful number, since it uses less digits than its factorization.

10153998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 10153998 is about 3186.5338535782. The cubic root of 10153998 is about 216.5437688303.

The spelling of 10153998 in words is "ten million, one hundred fifty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1229 1377 2458 2754 3687 4131 7374 8262 11061 20893 22122 33183 41786 62679 66366 99549 125358 188037 199098 298647 376074 564111 597294 1128222 1692333 3384666 5076999 10153998