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134082480 = 2435779811
BaseRepresentation
bin1111111110111…
…10111110110000
3100100022002120210
413333132332300
5233311114410
621145504120
73215453010
oct777367660
9310262523
10134082480
1169760174
1238aa2040
1321a17a5c
1413b43c40
15bb88220
hex7fdefb0

134082480 has 80 divisors (see below), whose sum is σ = 475041024. Its totient is φ = 30647040.

The previous prime is 134082469. The next prime is 134082491. The reversal of 134082480 is 84280431.

It is an interprime number because it is at equal distance from previous prime (134082469) and next prime (134082491).

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

It is a super-2 number, since 2×1340824802 = 35956222885900800, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38226 + ... + 41585.

Almost surely, 2134082480 is an apocalyptic number.

134082480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134082480 is an abundant number, since it is smaller than the sum of its proper divisors (340958544).

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

134082480 is a wasteful number, since it uses less digits than its factorization.

134082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79834 (or 79828 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 134082480 is about 11579.3989481320. The cubic root of 134082480 is about 511.8279654768.

The spelling of 134082480 in words is "one hundred thirty-four million, eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 79811 159622 239433 319244 399055 478866 558677 638488 798110 957732 1117354 1197165 1276976 1596220 1676031 1915464 2234708 2394330 2793385 3192440 3352062 3830928 4469416 4788660 5586770 6384880 6704124 8380155 8938832 9577320 11173540 13408248 16760310 19154640 22347080 26816496 33520620 44694160 67041240 134082480