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261164460 = 223531140411
BaseRepresentation
bin11111001000100…
…00110110101100
3200012102112021210
433210100312230
51013324230320
641525354420
76320601264
oct1744206654
9605375253
10261164460
111244697a7
1273568a10
13421512ab
14269847a4
1517ddc0e0
hexf910dac

261164460 has 48 divisors (see below), whose sum is σ = 754854912. Its totient is φ = 67396800.

The previous prime is 261164419. The next prime is 261164473. The reversal of 261164460 is 64461162.

261164460 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68346 + ... + 72065.

It is an arithmetic number, because the mean of its divisors is an integer number (15726144).

Almost surely, 2261164460 is an apocalyptic number.

261164460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261164460 is an abundant number, since it is smaller than the sum of its proper divisors (493690452).

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

261164460 is a wasteful number, since it uses less digits than its factorization.

261164460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140454 (or 140452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 261164460 is about 16160.5835290685. The cubic root of 261164460 is about 639.2018533491.

The spelling of 261164460 in words is "two hundred sixty-one million, one hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 140411 280822 421233 561644 702055 842466 1404110 1684932 2106165 2808220 4212330 4352741 8424660 8705482 13058223 17410964 21763705 26116446 43527410 52232892 65291115 87054820 130582230 261164460