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134920240 = 24571343431
BaseRepresentation
bin10000000101010…
…11100000110000
3100101212122202221
420002223200300
5234014421430
621215450424
73225542320
oct1002534060
9311778687
10134920240
116a182634
1239226a14
1321c4c180
1413cc1280
15bca157a
hex80ab830

134920240 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 41610240.

The previous prime is 134920213. The next prime is 134920321. The reversal of 134920240 is 42029431.

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, 312825 + ... + 313255.

Almost surely, 2134920240 is an apocalyptic number.

134920240 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 134920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

134920240 is an abundant number, since it is smaller than the sum of its proper divisors (261054416).

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

134920240 is a wasteful number, since it uses less digits than its factorization.

134920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 134920240 is about 11615.5172075978. The cubic root of 134920240 is about 512.8917361880.

Adding to 134920240 its reverse (42029431), we get a palindrome (176949671).

The spelling of 134920240 in words is "one hundred thirty-four million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 43 52 56 65 70 80 86 91 104 112 130 140 172 182 208 215 260 280 301 344 364 430 431 455 520 559 560 602 688 728 860 862 910 1040 1118 1204 1456 1505 1720 1724 1820 2155 2236 2408 2795 3010 3017 3440 3448 3640 3913 4310 4472 4816 5590 5603 6020 6034 6896 7280 7826 8620 8944 11180 11206 12040 12068 15085 15652 17240 18533 19565 22360 22412 24080 24136 28015 30170 31304 34480 37066 39130 39221 44720 44824 48272 56030 60340 62608 74132 78260 78442 89648 92665 112060 120680 129731 148264 156520 156884 185330 196105 224120 240929 241360 259462 296528 313040 313768 370660 392210 448240 481858 518924 627536 648655 741320 784420 963716 1037848 1204645 1297310 1482640 1568840 1686503 1927432 2075696 2409290 2594620 3137680 3373006 3854864 4818580 5189240 6746012 8432515 9637160 10378480 13492024 16865030 19274320 26984048 33730060 67460120 134920240