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10116864 = 28324391
BaseRepresentation
bin100110100101…
…111100000000
3201000222201200
4212211330000
510042214424
61000501200
7151664142
oct46457400
921028650
1010116864
11578aa4a
12347a800
132132b14
1414b4c92
15d4c8c9
hex9a5f00

10116864 has 54 divisors (see below), whose sum is σ = 29176056. Its totient is φ = 3371520.

The previous prime is 10116859. The next prime is 10116889. The reversal of 10116864 is 46861101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109 + ... + 4499.

Almost surely, 210116864 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 10116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588028).

10116864 is an abundant number, since it is smaller than the sum of its proper divisors (19059192).

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

10116864 is an equidigital number, since it uses as much as digits as its factorization.

10116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10116864 is about 3180.7018093496. The cubic root of 10116864 is about 216.2794736354.

Adding to 10116864 its reverse (46861101), we get a palindrome (56977965).

It can be divided in two parts, 1011 and 6864, that added together give a triangular number (7875 = T125).

The spelling of 10116864 in words is "ten million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4391 8782 13173 17564 26346 35128 39519 52692 70256 79038 105384 140512 158076 210768 281024 316152 421536 562048 632304 843072 1124096 1264608 1686144 2529216 3372288 5058432 10116864