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1135264020 = 2235113155487
BaseRepresentation
bin100001110101010…
…1100000100010100
32221010012101110120
41003222230010110
54311111422040
6304352351540
740063404432
oct10352540424
92833171416
101135264020
11532910730
122782455b0
13151279977
14aaabbd52
15699ee7d0
hex43aac114

1135264020 has 96 divisors (see below), whose sum is σ = 3579641856. Its totient is φ = 266332800.

The previous prime is 1135264019. The next prime is 1135264087. The reversal of 1135264020 is 204625311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284 + ... + 48203.

It is an arithmetic number, because the mean of its divisors is an integer number (37287936).

Almost surely, 21135264020 is an apocalyptic number.

1135264020 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 1135264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789820928).

1135264020 is an abundant number, since it is smaller than the sum of its proper divisors (2444377836).

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

1135264020 is a wasteful number, since it uses less digits than its factorization.

1135264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55541 (or 55539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1135264020 is about 33693.6792291967. The cubic root of 1135264020 is about 1043.1953070194.

Adding to 1135264020 its reverse (204625311), we get a palindrome (1339889331).

The spelling of 1135264020 in words is "one billion, one hundred thirty-five million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 55487 110974 166461 221948 277435 332922 554870 610357 665844 832305 1109740 1220714 1664610 1720097 1831071 2441428 3051785 3329220 3440194 3662142 5160291 6103570 6880388 7324284 8600485 9155355 10320582 12207140 17200970 18310710 18921067 20641164 25801455 34401940 36621420 37842134 51602910 56763201 75684268 94605335 103205820 113526402 189210670 227052804 283816005 378421340 567632010 1135264020