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10494288 = 2432729359
BaseRepresentation
bin101000000010…
…000101010000
3201202011110100
4220002011100
510141304123
61012532400
7155125410
oct50020520
921664410
1010494288
115a18572
123621100
13223584c
141572640
15dc4643
hexa02150

10494288 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2886912.

The previous prime is 10494269. The next prime is 10494293. The reversal of 10494288 is 88249401.

It is a super-2 number, since 2×104942882 = 220260161253888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29053 + ... + 29411.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 210494288 is an apocalyptic number.

10494288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10494288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

10494288 is an abundant number, since it is smaller than the sum of its proper divisors (24324912).

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

10494288 is a wasteful number, since it uses less digits than its factorization.

10494288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10494288 is about 3239.4888485686. The cubic root of 10494288 is about 218.9362421517.

The spelling of 10494288 in words is "ten million, four hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 359 406 464 504 522 609 696 718 812 1008 1044 1077 1218 1392 1436 1624 1827 2088 2154 2436 2513 2872 3231 3248 3654 4176 4308 4872 5026 5744 6462 7308 7539 8616 9744 10052 10411 12924 14616 15078 17232 20104 20822 22617 25848 29232 30156 31233 40208 41644 45234 51696 60312 62466 72877 83288 90468 93699 120624 124932 145754 166576 180936 187398 218631 249864 291508 361872 374796 437262 499728 583016 655893 749592 874524 1166032 1311786 1499184 1749048 2623572 3498096 5247144 10494288