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8116632 = 233353709
BaseRepresentation
bin11110111101100110011000
3120021100221000
4132331212120
54034213012
6445545000
7125663436
oct36754630
916240830
108116632
114644167
122875160
1318b2554
141113d56
15aa4ddc
hex7bd998

8116632 has 64 divisors (see below), whose sum is σ = 23004000. Its totient is φ = 2650752.

The previous prime is 8116621. The next prime is 8116643. The reversal of 8116632 is 2366118.

8116632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8116621) and next prime (8116643).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8116596 and 8116605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11094 + ... + 11802.

Almost surely, 28116632 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 8116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11502000).

8116632 is an abundant number, since it is smaller than the sum of its proper divisors (14887368).

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

8116632 is a wasteful number, since it uses less digits than its factorization.

8116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8116632 is about 2848.9703403160. The cubic root of 8116632 is about 200.9672479493.

The spelling of 8116632 in words is "eight million, one hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 709 954 1272 1418 1431 1908 2127 2836 2862 3816 4254 5672 5724 6381 8508 11448 12762 17016 19143 25524 37577 38286 51048 75154 76572 112731 150308 153144 225462 300616 338193 450924 676386 901848 1014579 1352772 2029158 2705544 4058316 8116632