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10198608 = 2437127239
BaseRepresentation
bin100110111001…
…111001010000
3201012010212020
4212321321100
510102323413
61002331440
7152454360
oct46717120
921163766
1010198608
115836402
1234b9b80
1321610a4
1414d69a0
15d66c23
hex9b9e50

10198608 has 80 divisors (see below), whose sum is σ = 30474240. Its totient is φ = 2878848.

The previous prime is 10198583. The next prime is 10198609. The reversal of 10198608 is 80689101.

10198608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10198609) 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, 42553 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (380928).

Almost surely, 210198608 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 10198608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237120).

10198608 is an abundant number, since it is smaller than the sum of its proper divisors (20275632).

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

10198608 is a wasteful number, since it uses less digits than its factorization.

10198608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 10198608 is about 3193.5259510453. The cubic root of 10198608 is about 216.8604226043.

The spelling of 10198608 in words is "ten million, one hundred ninety-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 239 254 336 381 478 508 717 762 889 956 1016 1434 1524 1673 1778 1912 2032 2667 2868 3048 3346 3556 3824 5019 5334 5736 6096 6692 7112 10038 10668 11472 13384 14224 20076 21336 26768 30353 40152 42672 60706 80304 91059 121412 182118 212471 242824 364236 424942 485648 637413 728472 849884 1274826 1456944 1699768 2549652 3399536 5099304 10198608