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10398144 = 263311747
BaseRepresentation
bin100111101010…
…100111000000
3201120021120110
4213222213000
510130220034
61010511320
7154245201
oct47524700
921507513
1010398144
115962309
123595540
132200b63
1415495a8
15da5de9
hex9ea9c0

10398144 has 56 divisors (see below), whose sum is σ = 28415488. Its totient is φ = 3352320.

The previous prime is 10398127. The next prime is 10398161. The reversal of 10398144 is 44189301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10398127) and next prime (10398161).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5079 + ... + 6825.

Almost surely, 210398144 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 10398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207744).

10398144 is an abundant number, since it is smaller than the sum of its proper divisors (18017344).

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

10398144 is a wasteful number, since it uses less digits than its factorization.

10398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10398144 is about 3224.6153258955. The cubic root of 10398144 is about 218.2655910629.

The spelling of 10398144 in words is "ten million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1747 1984 2976 3494 5241 5952 6988 10482 13976 20964 27952 41928 54157 55904 83856 108314 111808 162471 167712 216628 324942 335424 433256 649884 866512 1299768 1733024 2599536 3466048 5199072 10398144