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108742080 = 2635227499
BaseRepresentation
bin1100111101101…
…00010111000000
321120121200002110
412132310113000
5210314221310
614442415320
72460202206
oct636642700
9246550073
10108742080
1156422597
1230501540
13196b4935
1410629076
15982ed20
hex67b45c0

108742080 has 112 divisors (see below), whose sum is σ = 347472000. Its totient is φ = 28812288.

The previous prime is 108742043. The next prime is 108742087. The reversal of 108742080 is 80247801.

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 (108742087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217671 + ... + 218169.

Almost surely, 2108742080 is an apocalyptic number.

108742080 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 108742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736000).

108742080 is an abundant number, since it is smaller than the sum of its proper divisors (238729920).

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

108742080 is a wasteful number, since it uses less digits than its factorization.

108742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

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

The square root of 108742080 is about 10427.9470654583. The cubic root of 108742080 is about 477.3085478289.

Adding to 108742080 its reverse (80247801), we get a palindrome (188989881).

The spelling of 108742080 in words is "one hundred eight million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 227 240 320 454 480 499 681 908 960 998 1135 1362 1497 1816 1996 2270 2495 2724 2994 3405 3632 3992 4540 4990 5448 5988 6810 7264 7485 7984 9080 9980 10896 11976 13620 14528 14970 15968 18160 19960 21792 23952 27240 29940 31936 36320 39920 43584 47904 54480 59880 72640 79840 95808 108960 113273 119760 159680 217920 226546 239520 339819 453092 479040 566365 679638 906184 1132730 1359276 1699095 1812368 2265460 2718552 3398190 3624736 4530920 5437104 6796380 7249472 9061840 10874208 13592760 18123680 21748416 27185520 36247360 54371040 108742080