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10399488 = 283111231
BaseRepresentation
bin100111101010…
…111100000000
3201120100102020
4213222330000
510130240423
61010521440
7154252131
oct47527400
921510366
1010399488
115963320
123596280
132201658
141549c88
15da64e3
hex9eaf00

10399488 has 72 divisors (see below), whose sum is σ = 30218496. Its totient is φ = 3148800.

The previous prime is 10399451. The next prime is 10399531. The reversal of 10399488 is 88499301.

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, 7833 + ... + 9063.

Almost surely, 210399488 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 10399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109248).

10399488 is an abundant number, since it is smaller than the sum of its proper divisors (19819008).

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

10399488 is a wasteful number, since it uses less digits than its factorization.

10399488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 10399488 is about 3224.8237161122. The cubic root of 10399488 is about 218.2749945460.

The spelling of 10399488 in words is "ten million, three hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1231 1408 2112 2462 2816 3693 4224 4924 7386 8448 9848 13541 14772 19696 27082 29544 39392 40623 54164 59088 78784 81246 108328 118176 157568 162492 216656 236352 315136 324984 433312 472704 649968 866624 945408 1299936 1733248 2599872 3466496 5199744 10399488