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10116432 = 2432163431
BaseRepresentation
bin100110100101…
…110101010000
3201000222010200
4212211311100
510042211212
61000455200
7151662654
oct46456520
921028120
1010116432
11578a697
12347a500
132132871
1414b4a64
15d4c6dc
hex9a5d50

10116432 has 60 divisors (see below), whose sum is σ = 28551744. Its totient is φ = 3343680.

The previous prime is 10116427. The next prime is 10116433. The reversal of 10116432 is 23461101.

It is a happy number.

10116432 is a `hidden beast` number, since 10 + 11 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23257 + ... + 23687.

Almost surely, 210116432 is an apocalyptic number.

10116432 is a gapful number since it is divisible by the number (12) 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 10116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275872).

10116432 is an abundant number, since it is smaller than the sum of its proper divisors (18435312).

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

10116432 is a wasteful number, since it uses less digits than its factorization.

10116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10116432 is about 3180.6338990836. The cubic root of 10116432 is about 216.2763951431.

Adding to 10116432 its reverse (23461101), we get a palindrome (33577533).

The spelling of 10116432 in words is "ten million, one hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 431 489 652 862 978 1293 1304 1467 1724 1956 2586 2608 2934 3448 3879 3912 5172 5868 6896 7758 7824 10344 11736 15516 20688 23472 31032 62064 70253 140506 210759 281012 421518 562024 632277 843036 1124048 1264554 1686072 2529108 3372144 5058216 10116432