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1136561000 = 235319411459
BaseRepresentation
bin100001110111110…
…1000101101101000
32221012122021120212
41003233220231220
54311424423000
6304440240252
740110415631
oct10357505550
92835567525
101136561000
11533617113
12278770088
13151612103
14aad38888
1569ba8c35
hex43be8b68

1136561000 has 128 divisors (see below), whose sum is σ = 2869776000. Its totient is φ = 419904000.

The previous prime is 1136560963. The next prime is 1136561009. The reversal of 1136561000 is 1656311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1136561009) 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, 778271 + ... + 779729.

It is an arithmetic number, because the mean of its divisors is an integer number (22420125).

Almost surely, 21136561000 is an apocalyptic number.

1136561000 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 1136561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434888000).

1136561000 is an abundant number, since it is smaller than the sum of its proper divisors (1733215000).

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

1136561000 is a wasteful number, since it uses less digits than its factorization.

1136561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1136561000 is about 33712.9203718693. The cubic root of 1136561000 is about 1043.5924212610.

The spelling of 1136561000 in words is "one billion, one hundred thirty-six million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 125 152 164 190 200 205 250 328 380 410 475 500 760 779 820 950 1000 1025 1459 1558 1640 1900 2050 2375 2918 3116 3800 3895 4100 4750 5125 5836 6232 7295 7790 8200 9500 10250 11672 14590 15580 19000 19475 20500 27721 29180 31160 36475 38950 41000 55442 58360 59819 72950 77900 97375 110884 119638 138605 145900 155800 182375 194750 221768 239276 277210 291800 299095 364750 389500 478552 554420 598190 693025 729500 779000 1108840 1136561 1196380 1386050 1459000 1495475 2273122 2392760 2772100 2990950 3465125 4546244 5544200 5682805 5981900 6930250 7477375 9092488 11365610 11963800 13860500 14954750 22731220 27721000 28414025 29909500 45462440 56828050 59819000 113656100 142070125 227312200 284140250 568280500 1136561000