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134686320 = 24353143421
BaseRepresentation
bin10000000011100…
…10011001110000
3100101102202220020
420001302121300
5233434430240
621210443440
73223546326
oct1001623160
9311382806
10134686320
116a03290a
1239133580
1321b99862
1413c5dd16
15bc570d0
hex8072670

134686320 has 160 divisors (see below), whose sum is σ = 442066944. Its totient is φ = 33868800.

The previous prime is 134686309. The next prime is 134686337. The reversal of 134686320 is 23686431.

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, 319710 + ... + 320130.

Almost surely, 2134686320 is an apocalyptic number.

134686320 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 134686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221033472).

134686320 is an abundant number, since it is smaller than the sum of its proper divisors (307380624).

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

134686320 is a wasteful number, since it uses less digits than its factorization.

134686320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 134686320 is about 11605.4435503345. The cubic root of 134686320 is about 512.5951534605.

The spelling of 134686320 in words is "one hundred thirty-four million, six hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 80 86 93 120 124 129 155 172 186 215 240 248 258 310 344 372 421 430 465 496 516 620 645 688 744 842 860 930 1032 1240 1263 1290 1333 1488 1684 1720 1860 2064 2105 2480 2526 2580 2666 3368 3440 3720 3999 4210 5052 5160 5332 6315 6665 6736 7440 7998 8420 10104 10320 10664 12630 13051 13330 15996 16840 18103 19995 20208 21328 25260 26102 26660 31992 33680 36206 39153 39990 50520 52204 53320 54309 63984 65255 72412 78306 79980 90515 101040 104408 106640 108618 130510 144824 156612 159960 181030 195765 208816 217236 261020 271545 289648 313224 319920 362060 391530 434472 522040 543090 561193 626448 724120 783060 868944 1044080 1086180 1122386 1448240 1566120 1683579 2172360 2244772 2805965 3132240 3367158 4344720 4489544 5611930 6734316 8417895 8979088 11223860 13468632 16835790 22447720 26937264 33671580 44895440 67343160 134686320