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134300940 = 223553157269
BaseRepresentation
bin10000000000101…
…00010100001100
3100100201012020220
420000110110030
5233340112230
621154311340
73220352634
oct1000242414
9310635226
10134300940
116989a314
1238b88550
1321a93317
1413b9d6c4
15bbccd10
hex801450c

134300940 has 96 divisors (see below), whose sum is σ = 387011520. Its totient is φ = 34784256.

The previous prime is 134300917. The next prime is 134300941. The reversal of 134300940 is 49003431.

It is a self number, because there is not a number n which added to its sum of digits gives 134300940.

It is not an unprimeable number, because it can be changed into a prime (134300941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499126 + ... + 499394.

It is an arithmetic number, because the mean of its divisors is an integer number (4031370).

Almost surely, 2134300940 is an apocalyptic number.

134300940 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 134300940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193505760).

134300940 is an abundant number, since it is smaller than the sum of its proper divisors (252710580).

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

134300940 is a wasteful number, since it uses less digits than its factorization.

134300940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 134300940 is about 11588.8282410259. The cubic root of 134300940 is about 512.1057876706.

The spelling of 134300940 in words is "one hundred thirty-four million, three hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 157 159 212 265 269 314 318 471 530 538 628 636 785 795 807 942 1060 1076 1345 1570 1590 1614 1884 2355 2690 3140 3180 3228 4035 4710 5380 8070 8321 9420 14257 16140 16642 24963 28514 33284 41605 42233 42771 49926 57028 71285 83210 84466 85542 99852 124815 126699 142570 166420 168932 171084 211165 213855 249630 253398 285140 422330 427710 499260 506796 633495 844660 855420 1266990 2238349 2533980 4476698 6715047 8953396 11191745 13430094 22383490 26860188 33575235 44766980 67150470 134300940