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120134040 = 233513531453
BaseRepresentation
bin1110010100100…
…01100110011000
322101001102220220
413022101212120
5221223242130
615530520040
72656060005
oct712214630
9271042826
10120134040
11618a3534
1234296020
131bb72c40
1411d528ac
15a830410
hex7291998

120134040 has 128 divisors (see below), whose sum is σ = 395720640. Its totient is φ = 28993536.

The previous prime is 120134011. The next prime is 120134051. The reversal of 120134040 is 40431021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 81954 + ... + 83406.

Almost surely, 2120134040 is an apocalyptic number.

120134040 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 120134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197860320).

120134040 is an abundant number, since it is smaller than the sum of its proper divisors (275586600).

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

120134040 is a wasteful number, since it uses less digits than its factorization.

120134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120134040 is about 10960.5675035556. The cubic root of 120134040 is about 493.4259971217.

Adding to 120134040 its reverse (40431021), we get a palindrome (160565061).

The spelling of 120134040 in words is "one hundred twenty million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1453 1560 1590 2067 2120 2756 2906 3180 3445 4134 4359 5512 5812 6360 6890 7265 8268 8718 10335 11624 13780 14530 16536 17436 18889 20670 21795 27560 29060 34872 37778 41340 43590 56667 58120 75556 77009 82680 87180 94445 113334 151112 154018 174360 188890 226668 231027 283335 308036 377780 385045 453336 462054 566670 616072 755560 770090 924108 1001117 1133340 1155135 1540180 1848216 2002234 2266680 2310270 3003351 3080360 4004468 4620540 5005585 6006702 8008936 9241080 10011170 12013404 15016755 20022340 24026808 30033510 40044680 60067020 120134040