Search a number
-
+
108058816 = 266189311
BaseRepresentation
bin1100111000011…
…01100011000000
321112022221211101
412130031203000
5210130340231
614420024144
72451325165
oct634154300
9245287741
10108058816
1155aa6208
1230232054
1319505938
14104cc06c
159747661
hex670d8c0

108058816 has 56 divisors (see below), whose sum is σ = 221101920. Its totient is φ = 52377600.

The previous prime is 108058813. The next prime is 108058837. The reversal of 108058816 is 618850801.

It is not an unprimeable number, because it can be changed into a prime (108058813) 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 7 ways as a sum of consecutive naturals, for example, 347301 + ... + 347611.

Almost surely, 2108058816 is an apocalyptic number.

108058816 is a gapful number since it is divisible by the number (16) 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 108058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110550960).

108058816 is an abundant number, since it is smaller than the sum of its proper divisors (113043104).

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

108058816 is an equidigital number, since it uses as much as digits as its factorization.

108058816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 108058816 is about 10395.1342463674. The cubic root of 108058816 is about 476.3067485875.

The spelling of 108058816 in words is "one hundred eight million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 89 122 178 244 311 356 488 622 712 976 1244 1424 1952 2488 2848 3904 4976 5429 5696 9952 10858 18971 19904 21716 27679 37942 43432 55358 75884 86864 110716 151768 173728 221432 303536 347456 442864 607072 885728 1214144 1688419 1771456 3376838 6753676 13507352 27014704 54029408 108058816