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1355053040 = 245118231871
BaseRepresentation
bin101000011000100…
…0111011111110000
310111102202211022122
41100301013133300
510233343144130
6342243253412
745402521645
oct12061073760
93442684278
101355053040
1163598a450
1231997a268
13187972343
14cbd71dcc
157de672e5
hex50c477f0

1355053040 has 80 divisors (see below), whose sum is σ = 3442922496. Its totient is φ = 491884800.

The previous prime is 1355053031. The next prime is 1355053069. The reversal of 1355053040 is 403505531.

It is a tau number, because it is divible by the number of its divisors (80).

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, 723305 + ... + 725175.

Almost surely, 21355053040 is an apocalyptic number.

1355053040 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 1355053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721461248).

1355053040 is an abundant number, since it is smaller than the sum of its proper divisors (2087869456).

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

1355053040 is a wasteful number, since it uses less digits than its factorization.

1355053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1355053040 is about 36811.0450816056. The cubic root of 1355053040 is about 1106.5866629799.

Adding to 1355053040 its reverse (403505531), we get a palindrome (1758558571).

The spelling of 1355053040 in words is "one billion, three hundred fifty-five million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 823 880 1646 1871 3292 3742 4115 6584 7484 8230 9053 9355 13168 14968 16460 18106 18710 20581 29936 32920 36212 37420 41162 45265 65840 72424 74840 82324 90530 102905 144848 149680 164648 181060 205810 329296 362120 411620 724240 823240 1539833 1646480 3079666 6159332 7699165 12318664 15398330 16938163 24637328 30796660 33876326 61593320 67752652 84690815 123186640 135505304 169381630 271010608 338763260 677526520 1355053040