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134040120 = 23352833947
BaseRepresentation
bin1111111110101…
…00101000111000
3100100012221110220
413333110220320
5233303240440
621144540040
73215215344
oct777245070
9310187426
10134040120
1169731365
1238a81620
1321a016a6
1413b32624
15bb7a8d0
hex7fd4a38

134040120 has 64 divisors (see below), whose sum is σ = 403643520. Its totient is φ = 35608704.

The previous prime is 134040107. The next prime is 134040143. The reversal of 134040120 is 21040431.

It is a super-5 number, since 5×1340401205 (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134040120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31987 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (6306930).

Almost surely, 2134040120 is an apocalyptic number.

134040120 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 134040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201821760).

134040120 is an abundant number, since it is smaller than the sum of its proper divisors (269603400).

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

134040120 is a wasteful number, since it uses less digits than its factorization.

134040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4240 counting only the distinct ones).

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

The square root of 134040120 is about 11577.5696931610. The cubic root of 134040120 is about 511.7740600592.

Adding to 134040120 its reverse (21040431), we get a palindrome (155080551).

The spelling of 134040120 in words is "one hundred thirty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 849 1132 1415 1698 2264 2830 3396 3947 4245 5660 6792 7894 8490 11320 11841 15788 16980 19735 23682 31576 33960 39470 47364 59205 78940 94728 118410 157880 236820 473640 1117001 2234002 3351003 4468004 5585005 6702006 8936008 11170010 13404012 16755015 22340020 26808024 33510030 44680040 67020060 134040120