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134579480 = 2357317577
BaseRepresentation
bin10000000010110…
…00010100011000
3100101020100100012
420001120110120
5233423020410
621204301052
73222623000
oct1001302430
9311210305
10134579480
1169a6a612
12390a1788
1321b60039
1413c33000
15bc35605
hex8058518

134579480 has 128 divisors (see below), whose sum is σ = 374544000. Its totient is φ = 43352064.

The previous prime is 134579477. The next prime is 134579513. The reversal of 134579480 is 84975431.

It is a super-2 number, since 2×1345794802 = 36223272874140800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232952 + ... + 233528.

It is an arithmetic number, because the mean of its divisors is an integer number (2926125).

Almost surely, 2134579480 is an apocalyptic number.

134579480 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 134579480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

134579480 is an abundant number, since it is smaller than the sum of its proper divisors (239964520).

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

134579480 is a wasteful number, since it uses less digits than its factorization.

134579480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 134579480 is about 11600.8396247858. The cubic root of 134579480 is about 512.4595788069.

The spelling of 134579480 in words is "one hundred thirty-four million, five hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 343 392 476 490 577 595 680 686 833 952 980 1154 1190 1372 1666 1715 1960 2308 2380 2744 2885 3332 3430 4039 4165 4616 4760 5770 5831 6664 6860 8078 8330 9809 11540 11662 13720 16156 16660 19618 20195 23080 23324 28273 29155 32312 33320 39236 40390 46648 49045 56546 58310 68663 78472 80780 98090 113092 116620 137326 141365 161560 196180 197911 226184 233240 274652 282730 343315 392360 395822 480641 549304 565460 686630 791644 961282 989555 1130920 1373260 1583288 1922564 1979110 2403205 2746520 3364487 3845128 3958220 4806410 6728974 7916440 9612820 13457948 16822435 19225640 26915896 33644870 67289740 134579480