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134419740 = 223572133517
BaseRepresentation
bin10000000001100…
…01010100011100
3100100221020012220
420000301110130
5233402412430
621201025340
73221356200
oct1000612434
9310836186
10134419740
11699705a4
1239025250
1321b05410
1413bd0b00
15bc03110
hex803151c

134419740 has 144 divisors (see below), whose sum is σ = 471637152. Its totient is φ = 28353024.

The previous prime is 134419723. The next prime is 134419741. The reversal of 134419740 is 47914431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134419741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36462 + ... + 39978.

It is an arithmetic number, because the mean of its divisors is an integer number (3275258).

Almost surely, 2134419740 is an apocalyptic number.

134419740 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 134419740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235818576).

134419740 is an abundant number, since it is smaller than the sum of its proper divisors (337217412).

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

134419740 is a wasteful number, since it uses less digits than its factorization.

134419740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 134419740 is about 11593.9527340765. The cubic root of 134419740 is about 512.2567427760.

The spelling of 134419740 in words is "one hundred thirty-four million, four hundred nineteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3517 3822 5460 6370 7034 7644 9555 10551 12740 14068 17585 19110 21102 24619 35170 38220 42204 45721 49238 52755 70340 73857 91442 98476 105510 123095 137163 147714 172333 182884 211020 228605 246190 274326 295428 320047 344666 369285 457210 492380 516999 548652 640094 685815 689332 738570 861665 914420 960141 1033998 1280188 1371630 1477140 1600235 1723330 1920282 2067996 2240329 2584995 2743260 3200470 3446660 3840564 4480658 4800705 5169990 6400940 6720987 8961316 9601410 10339980 11201645 13441974 19202820 22403290 26883948 33604935 44806580 67209870 134419740