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261161145 = 3357436427
BaseRepresentation
bin11111001000100…
…00000010111001
3200012102100202000
433210100002321
51013324124040
641525331213
76320555520
oct1744200271
9605370660
10261161145
11124467263
1273566b09
134214c92b
14269834b7
1517ddb130
hexf9100b9

261161145 has 64 divisors (see below), whose sum is σ = 543037440. Its totient is φ = 116593344.

The previous prime is 261161141. The next prime is 261161161. The reversal of 261161145 is 541161162.

261161145 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 611 + 45 = 666.

It is not a de Polignac number, because 261161145 - 22 = 261161141 is a prime.

It is a super-2 number, since 2×2611611452 = 136410287315422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261161141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37422 + ... + 43848.

It is an arithmetic number, because the mean of its divisors is an integer number (8484960).

Almost surely, 2261161145 is an apocalyptic number.

It is an amenable number.

261161145 is an abundant number, since it is smaller than the sum of its proper divisors (281876295).

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

261161145 is a wasteful number, since it uses less digits than its factorization.

261161145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6485 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 261161145 is about 16160.4809643773. The cubic root of 261161145 is about 639.1991488424.

It can be divided in two parts, 26116 and 1145, that added together give a triangular number (27261 = T233).

The spelling of 261161145 in words is "two hundred sixty-one million, one hundred sixty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5805 6427 8127 13545 19281 32135 40635 44989 57843 96405 134967 173529 224945 276361 289215 404901 674835 829083 867645 1214703 1381805 1934527 2024505 2487249 4145415 5803581 6073515 7461747 9672635 12436245 17410743 29017905 37308735 52232229 87053715 261161145