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1134256040 = 235233793253
BaseRepresentation
bin100001110011011…
…0101111110101000
32221001022011202222
41003212311332220
54310332143130
6304315013212
740052005631
oct10346657650
92831264688
101134256040
11532292395
12277a3a208
13150cb5c28
14aa8d8888
15698a0ce5
hex439b5fa8

1134256040 has 64 divisors (see below), whose sum is σ = 2670883200. Its totient is φ = 432698112.

The previous prime is 1134256003. The next prime is 1134256043. The reversal of 1134256040 is 406524311.

It is not an unprimeable number, because it can be changed into a prime (1134256043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347054 + ... + 350306.

It is an arithmetic number, because the mean of its divisors is an integer number (41732550).

Almost surely, 21134256040 is an apocalyptic number.

1134256040 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 1134256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335441600).

1134256040 is an abundant number, since it is smaller than the sum of its proper divisors (1536627160).

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

1134256040 is a wasteful number, since it uses less digits than its factorization.

1134256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1134256040 is about 33678.7179090891. The cubic root of 1134256040 is about 1042.8864709692.

The spelling of 1134256040 in words is "one billion, one hundred thirty-four million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 379 460 758 920 1516 1895 3032 3253 3790 6506 7580 8717 13012 15160 16265 17434 26024 32530 34868 43585 65060 69736 74819 87170 130120 149638 174340 299276 348680 374095 598552 748190 1232887 1496380 2465774 2992760 4931548 6164435 9863096 12328870 24657740 28356401 49315480 56712802 113425604 141782005 226851208 283564010 567128020 1134256040