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1134104020 = 225723731277
BaseRepresentation
bin100001110011001…
…0000110111010100
32221001000110020121
41003212100313110
54310312312040
6304311441324
740050503500
oct10346206724
92831013217
101134104020
11532199155
12277986244
13150c6198a
14aa899300
1569870c4a
hex43990dd4

1134104020 has 72 divisors (see below), whose sum is σ = 2845422216. Its totient is φ = 378314496.

The previous prime is 1134104011. The next prime is 1134104029. The reversal of 1134104020 is 204014311.

It is an interprime number because it is at equal distance from previous prime (1134104011) and next prime (1134104029).

It can be written as a sum of positive squares in 4 ways, for example, as 350887824 + 783216196 = 18732^2 + 27986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134103985 and 1134104003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134104029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20622 + ... + 51898.

It is an arithmetic number, because the mean of its divisors is an integer number (39519753).

Almost surely, 21134104020 is an apocalyptic number.

1134104020 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 1134104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422711108).

1134104020 is an abundant number, since it is smaller than the sum of its proper divisors (1711318196).

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

1134104020 is a wasteful number, since it uses less digits than its factorization.

1134104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31337 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1134104020 is about 33676.4609185704. The cubic root of 1134104020 is about 1042.8398775256.

Adding to 1134104020 its reverse (204014311), we get a palindrome (1338118331).

The spelling of 1134104020 in words is "one billion, one hundred thirty-four million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 31277 36260 62554 125108 156385 218939 312770 437878 625540 875756 1094695 1157249 1532573 2189390 2314498 3065146 4378780 4628996 5786245 6130292 7662865 8100743 11572490 15325730 16201486 23144980 30651460 32402972 40503715 56705201 81007430 113410402 162014860 226820804 283526005 567052010 1134104020