Search a number
-
+
108631488 = 2637131617
BaseRepresentation
bin1100111100110…
…01010111000000
321120102001101110
412132121113000
5210302201423
614440203320
72456231610
oct636312700
9246361343
10108631488
1156357499
1230469540
13196764b4
14105daa40
15980c193
hex67995c0

108631488 has 112 divisors (see below), whose sum is σ = 331524864. Its totient is φ = 30750720.

The previous prime is 108631487. The next prime is 108631489. The reversal of 108631488 is 884136801.

It is an interprime number because it is at equal distance from previous prime (108631487) and next prime (108631489).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108631483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175756 + ... + 176372.

Almost surely, 2108631488 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 108631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165762432).

108631488 is an abundant number, since it is smaller than the sum of its proper divisors (222893376).

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

108631488 is a wasteful number, since it uses less digits than its factorization.

108631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 108631488 is about 10422.6430429138. The cubic root of 108631488 is about 477.1466834373.

The spelling of 108631488 in words is "one hundred eight million, six hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 617 672 786 917 1048 1234 1344 1572 1834 1851 2096 2468 2751 3144 3668 3702 4192 4319 4936 5502 6288 7336 7404 8384 8638 9872 11004 12576 12957 14672 14808 17276 19744 22008 25152 25914 29344 29616 34552 39488 44016 51828 58688 59232 69104 80827 88032 103656 118464 138208 161654 176064 207312 242481 276416 323308 414624 484962 565789 646616 829248 969924 1131578 1293232 1697367 1939848 2263156 2586464 3394734 3879696 4526312 5172928 6789468 7759392 9052624 13578936 15518784 18105248 27157872 36210496 54315744 108631488