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130606784 = 26711171559
BaseRepresentation
bin1111100100011…
…10011011000000
3100002202111211022
413302032123000
5231413404114
620543205012
73144065540
oct762163300
9302674738
10130606784
11677a68a0
12378a6768
132109ba29
14134bb320
15b6ed48e
hex7c8e6c0

130606784 has 112 divisors (see below), whose sum is σ = 342351360. Its totient is φ = 47861760.

The previous prime is 130606783. The next prime is 130606789. The reversal of 130606784 is 487606031.

130606784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (130606783) 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, 82997 + ... + 84555.

Almost surely, 2130606784 is an apocalyptic number.

130606784 is a gapful number since it is divisible by the number (14) 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 130606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

130606784 is an abundant number, since it is smaller than the sum of its proper divisors (211744576).

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

130606784 is a wasteful number, since it uses less digits than its factorization.

130606784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 130606784 is about 11428.3325117884. The cubic root of 130606784 is about 507.3666440846.

The spelling of 130606784 in words is "one hundred thirty million, six hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 952 1088 1232 1309 1496 1559 1904 2464 2618 2992 3118 3808 4928 5236 5984 6236 7616 10472 10913 11968 12472 17149 20944 21826 24944 26503 34298 41888 43652 49888 53006 68596 83776 87304 99776 106012 120043 137192 174608 185521 212024 240086 274384 291533 349216 371042 424048 480172 548768 583066 698432 742084 848096 960344 1097536 1166132 1484168 1696192 1920688 2040731 2332264 2968336 3841376 4081462 4664528 5936672 7682752 8162924 9329056 11873344 16325848 18658112 32651696 65303392 130606784