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10289538 = 2337163167
BaseRepresentation
bin100111010000…
…000110000010
3201100202121000
4213100012002
510113231123
61004312430
7153313440
oct47200602
921322530
1010289538
115898756
123542716
1321935ac
14151bb90
15d83b43
hex9d0182

10289538 has 64 divisors (see below), whose sum is σ = 26449920. Its totient is φ = 2904336.

The previous prime is 10289537. The next prime is 10289563. The reversal of 10289538 is 83598201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61531 + ... + 61697.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 210289538 is an apocalyptic number.

10289538 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 10289538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224960).

10289538 is an abundant number, since it is smaller than the sum of its proper divisors (16160382).

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

10289538 is a wasteful number, since it uses less digits than its factorization.

10289538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10289538 is about 3207.7309737570. The cubic root of 10289538 is about 217.5030201721.

The spelling of 10289538 in words is "ten million, two hundred eighty-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 167 189 326 334 378 489 501 978 1002 1141 1169 1467 1503 2282 2338 2934 3006 3423 3507 4401 4509 6846 7014 8802 9018 10269 10521 20538 21042 27221 30807 31563 54442 61614 63126 81663 163326 190547 244989 381094 489978 571641 734967 1143282 1469934 1714923 3429846 5144769 10289538