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134231240 = 235111331757
BaseRepresentation
bin10000000000000…
…11010011001000
3100100120122122102
420000003103020
5233330344430
621153012532
73216642503
oct1000032310
9310518572
10134231240
1169851a10
1238b54148
1321a6a690
1413b8213a
15bbb7345
hex80034c8

134231240 has 128 divisors (see below), whose sum is σ = 366750720. Its totient is φ = 43545600.

The previous prime is 134231189. The next prime is 134231249. The reversal of 134231240 is 42132431.

134231240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134231249) 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, 176942 + ... + 177698.

It is an arithmetic number, because the mean of its divisors is an integer number (2865240).

Almost surely, 2134231240 is an apocalyptic number.

134231240 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 134231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183375360).

134231240 is an abundant number, since it is smaller than the sum of its proper divisors (232519480).

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

134231240 is a wasteful number, since it uses less digits than its factorization.

134231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 134231240 is about 11585.8206442185. The cubic root of 134231240 is about 512.0171808200.

Adding to 134231240 its reverse (42132431), we get a palindrome (176363671).

The spelling of 134231240 in words is "one hundred thirty-four million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 757 806 1144 1240 1364 1430 1514 1612 1705 2015 2728 2860 3028 3224 3410 3785 4030 4433 5720 6056 6820 7570 8060 8327 8866 9841 13640 15140 16120 16654 17732 19682 22165 23467 30280 33308 35464 39364 41635 44330 46934 49205 66616 78728 83270 88660 93868 98410 108251 117335 166540 177320 187736 196820 216502 234670 258137 305071 333080 393640 433004 469340 516274 541255 610142 866008 938680 1032548 1082510 1220284 1290685 1525355 2065096 2165020 2440568 2581370 3050710 3355781 4330040 5162740 6101420 6711562 10325480 12202840 13423124 16778905 26846248 33557810 67115620 134231240