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261136020 = 223523189229
BaseRepresentation
bin11111001000010…
…01111010010100
3200012101002021110
433210021322110
51013322323040
641525015020
76320422335
oct1744117224
9605332243
10261136020
1112444a3a2
1273554470
1342141372
142697828c
1517dd3980
hexf909e94

261136020 has 48 divisors (see below), whose sum is σ = 762975360. Its totient is φ = 66608256.

The previous prime is 261136013. The next prime is 261136021. The reversal of 261136020 is 20631162.

It is a happy number.

261136020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261136021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93235 + ... + 95994.

It is an arithmetic number, because the mean of its divisors is an integer number (15895320).

Almost surely, 2261136020 is an apocalyptic number.

261136020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261136020 is an abundant number, since it is smaller than the sum of its proper divisors (501839340).

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

261136020 is a wasteful number, since it uses less digits than its factorization.

261136020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189264 (or 189262 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 261136020 is about 16159.7035863904. The cubic root of 261136020 is about 639.1786501401.

Adding to 261136020 its reverse (20631162), we get a palindrome (281767182).

The spelling of 261136020 in words is "two hundred sixty-one million, one hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 189229 378458 567687 756916 946145 1135374 1892290 2270748 2838435 3784580 4352267 5676870 8704534 11353740 13056801 17409068 21761335 26113602 43522670 52227204 65284005 87045340 130568010 261136020