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134015480 = 235233137127
BaseRepresentation
bin1111111110011…
…10100111111000
3100100011200200022
413333032213320
5233301443410
621144230012
73215053454
oct777164770
9310150608
10134015480
11697148a5
1238a6b308
13219c3401
1413b27664
15bb73455
hex7fce9f8

134015480 has 128 divisors (see below), whose sum is σ = 336199680. Its totient is φ = 47900160.

The previous prime is 134015473. The next prime is 134015501. The reversal of 134015480 is 84510431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055177 + ... + 1055303.

It is an arithmetic number, because the mean of its divisors is an integer number (2626560).

Almost surely, 2134015480 is an apocalyptic number.

134015480 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 134015480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168099840).

134015480 is an abundant number, since it is smaller than the sum of its proper divisors (202184200).

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

134015480 is a wasteful number, since it uses less digits than its factorization.

134015480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 134015480 is about 11576.5055176422. The cubic root of 134015480 is about 511.7426990866.

It can be divided in two parts, 13401 and 5480, that added together give a palindrome (18881).

The spelling of 134015480 in words is "one hundred thirty-four million, fifteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 37 40 46 62 74 92 115 124 127 148 155 184 185 230 248 254 296 310 370 460 508 620 635 713 740 851 920 1016 1147 1240 1270 1426 1480 1702 2294 2540 2852 2921 3404 3565 3937 4255 4588 4699 5080 5704 5735 5842 6808 7130 7874 8510 9176 9398 11470 11684 14260 14605 15748 17020 18796 19685 22940 23368 23495 26381 28520 29210 31496 34040 37592 39370 45880 46990 52762 58420 78740 90551 93980 105524 108077 116840 131905 145669 157480 181102 187960 211048 216154 263810 291338 362204 432308 452755 527620 540385 582676 724408 728345 864616 905510 1055240 1080770 1165352 1456690 1811020 2161540 2913380 3350387 3622040 4323080 5826760 6700774 13401548 16751935 26803096 33503870 67007740 134015480