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108244980 = 223253716253
BaseRepresentation
bin1100111001110…
…10111111110100
321112200102012100
412130322333310
5210202314410
614424022100
72453032014
oct634727764
9245612170
10108244980
1156113068
1230301930
131956c5ac
1410539c44
1597828c0
hex673aff4

108244980 has 72 divisors (see below), whose sum is σ = 337237992. Its totient is φ = 28083456.

The previous prime is 108244951. The next prime is 108244987. The reversal of 108244980 is 89442801.

It can be written as a sum of positive squares in 4 ways, for example, as 39388176 + 68856804 = 6276^2 + 8298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108244987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1467 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (4683861).

Almost surely, 2108244980 is an apocalyptic number.

108244980 is a gapful number since it is divisible by the number (10) 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 108244980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618996).

108244980 is an abundant number, since it is smaller than the sum of its proper divisors (228993012).

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

108244980 is a wasteful number, since it uses less digits than its factorization.

108244980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16305 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108244980 is about 10404.0847747411. The cubic root of 108244980 is about 476.5801191479.

The spelling of 108244980 in words is "one hundred eight million, two hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 16253 32506 48759 65012 81265 97518 146277 162530 195036 243795 292554 325060 487590 585108 601361 731385 975180 1202722 1462770 1804083 2405444 2925540 3006805 3608166 5412249 6013610 7216332 9020415 10824498 12027220 18040830 21648996 27061245 36081660 54122490 108244980