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108438540 = 22357292307
BaseRepresentation
bin1100111011010…
…10010000001100
321120001020201020
412131222100030
5210230013130
614432114140
72454466230
oct635522014
9246036636
10108438540
1156235531
1230395950
1319609722
141058a5c0
1597bee10
hex676a40c

108438540 has 144 divisors (see below), whose sum is σ = 360552192. Its totient is φ = 23853312.

The previous prime is 108438509. The next prime is 108438553. The reversal of 108438540 is 45834801.

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, 353067 + ... + 353373.

Almost surely, 2108438540 is an apocalyptic number.

108438540 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 108438540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180276096).

108438540 is an abundant number, since it is smaller than the sum of its proper divisors (252113652).

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

108438540 is a wasteful number, since it uses less digits than its factorization.

108438540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 108438540 is about 10413.3827356916. The cubic root of 108438540 is about 476.8640181278.

The spelling of 108438540 in words is "one hundred eight million, four hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 307 348 406 420 435 580 609 614 812 841 870 921 1015 1218 1228 1535 1682 1740 1842 2030 2149 2436 2523 3045 3070 3364 3684 4060 4205 4298 4605 5046 5887 6090 6140 6447 8410 8596 8903 9210 10092 10745 11774 12180 12615 12894 16820 17661 17806 18420 21490 23548 25230 25788 26709 29435 32235 35322 35612 42980 44515 50460 53418 58870 62321 64470 70644 88305 89030 106836 117740 124642 128940 133545 176610 178060 186963 249284 258187 267090 311605 353220 373926 516374 534180 623210 747852 774561 934815 1032748 1246420 1290935 1549122 1807309 1869630 2581870 3098244 3614618 3739260 3872805 5163740 5421927 7229236 7745610 9036545 10843854 15491220 18073090 21687708 27109635 36146180 54219270 108438540