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134630280 = 233253671019
BaseRepresentation
bin10000000011001…
…00101110001000
3100101022221000200
420001210232020
5233431132110
621205332200
73223224051
oct1001445610
9311287020
10134630280
1169aa47a4
1239107060
1321b7a1b5
1413c47728
15bc456c0
hex8064b88

134630280 has 96 divisors (see below), whose sum is σ = 439171200. Its totient is φ = 35768448.

The previous prime is 134630263. The next prime is 134630297. The reversal of 134630280 is 82036431.

It is a happy number.

134630280 is a `hidden beast` number, since 1 + 3 + 4 + 630 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134630263) and next prime (134630297).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131611 + ... + 132629.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2134630280 is an apocalyptic number.

134630280 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 134630280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585600).

134630280 is an abundant number, since it is smaller than the sum of its proper divisors (304540920).

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

134630280 is a wasteful number, since it uses less digits than its factorization.

134630280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134630280 is about 11603.0289148998. The cubic root of 134630280 is about 512.5240504280.

It can be divided in two parts, 1346 and 30280, that added together give a triangular number (31626 = T251).

The spelling of 134630280 in words is "one hundred thirty-four million, six hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1019 1101 1468 1835 2038 2202 2936 3057 3303 3670 4076 4404 5095 5505 6114 6606 7340 8152 8808 9171 10190 11010 12228 13212 14680 15285 16515 18342 20380 22020 24456 26424 30570 33030 36684 40760 44040 45855 61140 66060 73368 91710 122280 132120 183420 366840 373973 747946 1121919 1495892 1869865 2243838 2991784 3365757 3739730 4487676 5609595 6731514 7479460 8975352 11219190 13463028 14958920 16828785 22438380 26926056 33657570 44876760 67315140 134630280