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1135690000 = 24543372
BaseRepresentation
bin100001110110001…
…0100000100010000
32221011000000210121
41003230110010100
54311214040000
6304405440024
740100130364
oct10354240420
92834000717
101135690000
11533081785
12278410014
13151398823
14aab8d2a4
1569a85b1a
hex43b14110

1135690000 has 75 divisors (see below), whose sum is σ = 2757802377. Its totient is φ = 452928000.

The previous prime is 1135689953. The next prime is 1135690001. The reversal of 1135690000 is 965311.

The square root of 1135690000 is 33700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1059372304 + 76317696 = 32548^2 + 8736^2 .

It is a super-2 number, since 2×11356900002 = 2579583552200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1135690001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3369832 + ... + 3370168.

Almost surely, 21135690000 is an apocalyptic number.

1135690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1135690000 is the 33700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135690000

1135690000 is an abundant number, since it is smaller than the sum of its proper divisors (1622112377).

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

1135690000 is an frugal number, since it uses more digits than its factorization.

1135690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The cubic root of 1135690000 is about 1043.3257685273.

Multiplying 1135690000 by its sum of digits (25), we get a square (28392250000 = 1685002).

1135690000 divided by its sum of digits (25) gives a square (45427600 = 67402).

The spelling of 1135690000 in words is "one billion, one hundred thirty-five million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 337 400 500 625 674 1000 1250 1348 1685 2000 2500 2696 3370 5000 5392 6740 8425 10000 13480 16850 26960 33700 42125 67400 84250 113569 134800 168500 210625 227138 337000 421250 454276 567845 674000 842500 908552 1135690 1685000 1817104 2271380 2839225 3370000 4542760 5678450 9085520 11356900 14196125 22713800 28392250 45427600 56784500 70980625 113569000 141961250 227138000 283922500 567845000 1135690000