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108820470 = 235112983137
BaseRepresentation
bin1100111110001…
…11011111110110
321120202122121210
412133013133312
5210324223340
614444222250
72460646563
oct637073766
9246678553
10108820470
1156476480
123053a986
1319711515
141064986a
159848180
hex67c77f6

108820470 has 128 divisors (see below), whose sum is σ = 300464640. Its totient is φ = 24980480.

The previous prime is 108820409. The next prime is 108820471. The reversal of 108820470 is 74028801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108820471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794242 + ... + 794378.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 2108820470 is an apocalyptic number.

108820470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108820470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150232320).

108820470 is an abundant number, since it is smaller than the sum of its proper divisors (191644170).

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

108820470 is a wasteful number, since it uses less digits than its factorization.

108820470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 108820470 is about 10431.7050380079. The cubic root of 108820470 is about 477.4232143554.

The spelling of 108820470 in words is "one hundred eight million, eight hundred twenty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 83 87 110 137 145 165 166 174 249 274 290 319 330 411 415 435 498 638 685 822 830 870 913 957 1245 1370 1507 1595 1826 1914 2055 2407 2490 2739 3014 3190 3973 4110 4521 4565 4785 4814 5478 7221 7535 7946 9042 9130 9570 11371 11919 12035 13695 14442 15070 19865 22605 22742 23838 24070 26477 27390 34113 36105 39730 43703 45210 52954 56855 59595 68226 72210 79431 87406 113710 119190 125081 131109 132385 158862 170565 218515 250162 262218 264770 329759 341130 375243 397155 437030 625405 655545 659518 750486 794310 989277 1250810 1311090 1648795 1876215 1978554 3297590 3627349 3752430 4946385 7254698 9892770 10882047 18136745 21764094 36273490 54410235 108820470