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261216030 = 23561349409
BaseRepresentation
bin11111001000111…
…01011100011110
3200012112011000210
433210131130132
51013332403110
641530433250
76321204525
oct1744353436
9605464023
10261216030
111244a4519
1273592826
134216b8ca
14269994bc
1517dec520
hexf91d71e

261216030 has 64 divisors (see below), whose sum is σ = 640584000. Its totient is φ = 68152320.

The previous prime is 261216019. The next prime is 261216031. The reversal of 261216030 is 30612162.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 261215988 and 261216006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261216031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638466 + ... + 638874.

It is an arithmetic number, because the mean of its divisors is an integer number (10009125).

Almost surely, 2261216030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261216030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320292000).

261216030 is an abundant number, since it is smaller than the sum of its proper divisors (379367970).

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

261216030 is a wasteful number, since it uses less digits than its factorization.

261216030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829.

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

The square root of 261216030 is about 16162.1789991325. The cubic root of 261216030 is about 639.2439232261.

Adding to 261216030 its reverse (30612162), we get a palindrome (291828192).

The spelling of 261216030 in words is "two hundred sixty-one million, two hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 349 366 409 610 698 818 915 1047 1227 1745 1830 2045 2094 2454 3490 4090 5235 6135 10470 12270 21289 24949 42578 49898 63867 74847 106445 124745 127734 142741 149694 212890 249490 285482 319335 374235 428223 638670 713705 748470 856446 1427410 2141115 4282230 8707201 17414402 26121603 43536005 52243206 87072010 130608015 261216030