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134420440 = 235711192297
BaseRepresentation
bin10000000001100…
…01011111011000
3100100221021011211
420000301133120
5233402423230
621201032504
73221361220
oct1000613730
9310837154
10134420440
1169971080
1239025734
1321b0582b
1413bd1080
15bc0342a
hex80317d8

134420440 has 128 divisors (see below), whose sum is σ = 397094400. Its totient is φ = 39674880.

The previous prime is 134420399. The next prime is 134420443. The reversal of 134420440 is 44024431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134420443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57372 + ... + 59668.

It is an arithmetic number, because the mean of its divisors is an integer number (3102300).

Almost surely, 2134420440 is an apocalyptic number.

134420440 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 134420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198547200).

134420440 is an abundant number, since it is smaller than the sum of its proper divisors (262673960).

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

134420440 is a wasteful number, since it uses less digits than its factorization.

134420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 134420440 is about 11593.9829221886. The cubic root of 134420440 is about 512.2576319784.

Adding to 134420440 its reverse (44024431), we get a palindrome (178444871).

The spelling of 134420440 in words is "one hundred thirty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2297 2660 2926 3080 4180 4594 5320 5852 7315 8360 9188 11485 11704 14630 16079 18376 22970 25267 29260 32158 43643 45940 50534 58520 64316 80395 87286 91880 101068 126335 128632 160790 174572 176869 202136 218215 252670 305501 321580 349144 353738 436430 480073 505340 611002 643160 707476 872860 884345 960146 1010680 1222004 1414952 1527505 1745720 1768690 1920292 2400365 2444008 3055010 3360511 3537380 3840584 4800730 6110020 6721022 7074760 9601460 12220040 13442044 16802555 19202920 26884088 33605110 67210220 134420440