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107604480 = 293514011
BaseRepresentation
bin1100110100111…
…10101000000000
321111110212121010
412122132220000
5210021320410
614402200520
72444423454
oct632365000
9244425533
10107604480
1155815925
1230053140
13193a6bb9
1410410664
1596a7c20
hex669ea00

107604480 has 80 divisors (see below), whose sum is σ = 344022624. Its totient is φ = 28692480.

The previous prime is 107604463. The next prime is 107604481. The reversal of 107604480 is 84406701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (107604481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 14685.

Almost surely, 2107604480 is an apocalyptic number.

107604480 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 107604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172011312).

107604480 is an abundant number, since it is smaller than the sum of its proper divisors (236418144).

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

107604480 is an equidigital number, since it uses as much as digits as its factorization.

107604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 107604480 is about 10373.2579260327. The cubic root of 107604480 is about 475.6382629349.

The spelling of 107604480 in words is "one hundred seven million, six hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 14011 28022 42033 56044 70055 84066 112088 140110 168132 210165 224176 280220 336264 420330 448352 560440 672528 840660 896704 1120880 1345056 1681320 1793408 2241760 2690112 3362640 3586816 4483520 5380224 6725280 7173632 8967040 10760448 13450560 17934080 21520896 26901120 35868160 53802240 107604480