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109539144 = 2332111310639
BaseRepresentation
bin1101000011101…
…10111101001000
321122010011110100
412201312331020
5211020223034
614511445400
72500032051
oct641667510
9248104410
10109539144
1156917420
1230826860
1319903680
1410795728
15993b099
hex6876f48

109539144 has 96 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 30637440.

The previous prime is 109539137. The next prime is 109539163. The reversal of 109539144 is 441935901.

It is a happy number.

109539144 is a `hidden beast` number, since 109 + 539 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109539099 and 109539108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2109539144 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 109539144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

109539144 is an abundant number, since it is smaller than the sum of its proper divisors (239027256).

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

109539144 is a wasteful number, since it uses less digits than its factorization.

109539144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109539144 is about 10466.0949737713. The cubic root of 109539144 is about 478.4719112975.

The spelling of 109539144 in words is "one hundred nine million, five hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 10639 21278 31917 42556 63834 85112 95751 117029 127668 138307 191502 234058 255336 276614 351087 383004 414921 468116 553228 702174 766008 829842 936232 1053261 1106456 1244763 1404348 1521377 1659684 2106522 2489526 2808696 3042754 3319368 4213044 4564131 4979052 6085508 8426088 9128262 9958104 12171016 13692393 18256524 27384786 36513048 54769572 109539144