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109740480 = 2635791447
BaseRepresentation
bin1101000101010…
…00000111000000
321122111101122020
412202220013000
5211043143410
614520041440
72501531043
oct642500700
9248441566
10109740480
1156a44713
1230903280
13199741c5
1410808c5a
15997aa70
hex68a81c0

109740480 has 112 divisors (see below), whose sum is σ = 353080320. Its totient is φ = 28873728.

The previous prime is 109740473. The next prime is 109740487. The reversal of 109740480 is 84047901.

It is an interprime number because it is at equal distance from previous prime (109740473) and next prime (109740487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109740487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75117 + ... + 76563.

Almost surely, 2109740480 is an apocalyptic number.

109740480 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 109740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540160).

109740480 is an abundant number, since it is smaller than the sum of its proper divisors (243339840).

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

109740480 is a wasteful number, since it uses less digits than its factorization.

109740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 109740480 is about 10475.7090452150. The cubic root of 109740480 is about 478.7648801125.

The spelling of 109740480 in words is "one hundred nine million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1447 1580 1896 2370 2528 2894 3160 3792 4341 4740 5056 5788 6320 7235 7584 8682 9480 11576 12640 14470 15168 17364 18960 21705 23152 25280 28940 34728 37920 43410 46304 57880 69456 75840 86820 92608 114313 115760 138912 173640 228626 231520 277824 342939 347280 457252 463040 571565 685878 694560 914504 1143130 1371756 1389120 1714695 1829008 2286260 2743512 3429390 3658016 4572520 5487024 6858780 7316032 9145040 10974048 13717560 18290080 21948096 27435120 36580160 54870240 109740480