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1135400730 = 235311737057
BaseRepresentation
bin100001110101100…
…1101011100011010
32221010110022222220
41003223031130122
54311130310410
6304355324510
740064514132
oct10353153432
92833408886
101135400730
115329a4412
122782b0736
131512c6c69
14aab15ac2
1569a2a070
hex43acd71a

1135400730 has 64 divisors (see below), whose sum is σ = 2829523968. Its totient is φ = 291271680.

The previous prime is 1135400723. The next prime is 1135400731. The reversal of 1135400730 is 370045311.

1135400730 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1135400730.

It is not an unprimeable number, because it can be changed into a prime (1135400731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157362 + ... + 164418.

It is an arithmetic number, because the mean of its divisors is an integer number (44211312).

Almost surely, 21135400730 is an apocalyptic number.

1135400730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135400730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414761984).

1135400730 is an abundant number, since it is smaller than the sum of its proper divisors (1694123238).

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

1135400730 is a wasteful number, since it uses less digits than its factorization.

1135400730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1135400730 is about 33695.7078869105. The cubic root of 1135400730 is about 1043.2371796598.

The spelling of 1135400730 in words is "one billion, one hundred thirty-five million, four hundred thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 173 186 310 346 465 519 865 930 1038 1730 2595 5190 5363 7057 10726 14114 16089 21171 26815 32178 35285 42342 53630 70570 80445 105855 160890 211710 218767 437534 656301 1093835 1220861 1312602 2187670 2441722 3281505 3662583 6104305 6563010 7325166 12208610 18312915 36625830 37846691 75693382 113540073 189233455 227080146 378466910 567700365 1135400730