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134420040 = 23335711753
BaseRepresentation
bin10000000001100…
…01011001001000
3100100221020122000
420000301121020
5233402420130
621201031000
73221360106
oct1000613110
9310836560
10134420040
1169970847
1239025460
1321b055b1
1413bd0c76
15bc03260
hex8031648

134420040 has 128 divisors (see below), whose sum is σ = 454636800. Its totient is φ = 35320320.

The previous prime is 134420029. The next prime is 134420057. The reversal of 134420040 is 40024431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134419995 and 134420022.

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, 75804 + ... + 77556.

It is an arithmetic number, because the mean of its divisors is an integer number (3551850).

Almost surely, 2134420040 is an apocalyptic number.

134420040 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 134420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227318400).

134420040 is an abundant number, since it is smaller than the sum of its proper divisors (320216760).

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

134420040 is a wasteful number, since it uses less digits than its factorization.

134420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134420040 is about 11593.9656718484. The cubic root of 134420040 is about 512.2571238631.

Adding to 134420040 its reverse (40024431), we get a palindrome (174444471).

The spelling of 134420040 in words is "one hundred thirty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1753 1917 2130 2556 2840 3195 3506 3834 4260 5112 5259 6390 7012 7668 8520 8765 9585 10518 12780 14024 15336 15777 17530 19170 21036 25560 26295 31554 35060 38340 42072 47331 52590 63108 70120 76680 78885 94662 105180 124463 126216 157770 189324 210360 236655 248926 315540 373389 378648 473310 497852 622315 631080 746778 946620 995704 1120167 1244630 1493556 1866945 1893240 2240334 2489260 2987112 3360501 3733890 4480668 4978520 5600835 6721002 7467780 8961336 11201670 13442004 14935560 16802505 22403340 26884008 33605010 44806680 67210020 134420040