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109053540 = 22355191181
BaseRepresentation
bin1101000000000…
…00011001100100
321121012111100000
412200000121210
5210404203130
614453221300
72462640231
oct640003144
9247174300
10109053540
11566155a2
1230631830
131979362b
14106aa788
159892260
hex6800664

109053540 has 144 divisors (see below), whose sum is σ = 361408320. Its totient is φ = 27527040.

The previous prime is 109053533. The next prime is 109053587. The reversal of 109053540 is 45350901.

109053540 is a `hidden beast` number, since 1 + 0 + 90 + 535 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91750 + ... + 92930.

It is an arithmetic number, because the mean of its divisors is an integer number (2509780).

Almost surely, 2109053540 is an apocalyptic number.

109053540 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 109053540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180704160).

109053540 is an abundant number, since it is smaller than the sum of its proper divisors (252354780).

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

109053540 is a wasteful number, since it uses less digits than its factorization.

109053540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 109053540 is about 10442.8702950865. The cubic root of 109053540 is about 477.7638171912.

The spelling of 109053540 in words is "one hundred nine million, fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1181 1215 1539 1620 1710 2052 2362 2430 2565 3078 3420 3543 4617 4724 4860 5130 5905 6156 7086 7695 9234 10260 10629 11810 14172 15390 17715 18468 21258 22439 23085 23620 30780 31887 35430 42516 44878 46170 53145 63774 67317 70860 89756 92340 95661 106290 112195 127548 134634 159435 191322 201951 212580 224390 269268 286983 318870 336585 382644 403902 448780 478305 573966 605853 637740 673170 807804 956610 1009755 1147932 1211706 1346340 1434915 1817559 1913220 2019510 2423412 2869830 3029265 3635118 4039020 5452677 5739660 6058530 7270236 9087795 10905354 12117060 18175590 21810708 27263385 36351180 54526770 109053540