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134013440 = 295114759
BaseRepresentation
bin1111111110011…
…10001000000000
3100100011120212202
413333032020000
5233301412230
621144212332
73215044511
oct777161000
9310146782
10134013440
1169713310
1238a6a0a8
13219c24c2
1413b26a08
15bb72a45
hex7fce200

134013440 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 48721920.

The previous prime is 134013427. The next prime is 134013457. The reversal of 134013440 is 44310431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25781 + ... + 30539.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2134013440 is an apocalyptic number.

134013440 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 134013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

134013440 is an abundant number, since it is smaller than the sum of its proper divisors (216589120).

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

134013440 is an equidigital number, since it uses as much as digits as its factorization.

134013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4777 counting only the distinct ones).

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

The square root of 134013440 is about 11576.4174078166. The cubic root of 134013440 is about 511.7401024701.

Adding to 134013440 its reverse (44310431), we get a palindrome (178323871).

The spelling of 134013440 in words is "one hundred thirty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 4759 5632 7040 9518 14080 19036 23795 28160 38072 47590 52349 76144 95180 104698 152288 190360 209396 261745 304576 380720 418792 523490 609152 761440 837584 1046980 1218304 1522880 1675168 2093960 2436608 3045760 3350336 4187920 6091520 6700672 8375840 12183040 13401344 16751680 26802688 33503360 67006720 134013440