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108303216 = 2437973323
BaseRepresentation
bin1100111010010…
…01001101110000
321112210101002020
412131021031300
5210211200331
614425151440
72453363550
oct635111560
9245711066
10108303216
115615289a
123032b580
131958cc58
1410553160
159794c96
hex6749370

108303216 has 80 divisors (see below), whose sum is σ = 323145984. Its totient is φ = 30615552.

The previous prime is 108303199. The next prime is 108303241. The reversal of 108303216 is 612303801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 30931 + ... + 34253.

Almost surely, 2108303216 is an apocalyptic number.

108303216 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 108303216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572992).

108303216 is an abundant number, since it is smaller than the sum of its proper divisors (214842768).

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

108303216 is a wasteful number, since it uses less digits than its factorization.

108303216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 108303216 is about 10406.8831068673. The cubic root of 108303216 is about 476.6655708214.

The spelling of 108303216 in words is "one hundred eight million, three hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 3323 4074 4656 5432 6646 8148 9969 10864 13292 16296 19938 23261 26584 32592 39876 46522 53168 69783 79752 93044 139566 159504 186088 279132 322331 372176 558264 644662 966993 1116528 1289324 1933986 2256317 2578648 3867972 4512634 5157296 6768951 7735944 9025268 13537902 15471888 18050536 27075804 36101072 54151608 108303216