Search a number
-
+
261411696 = 243271319949
BaseRepresentation
bin11111001010011…
…01001101110000
3200012220002102200
433211031031300
51013410133241
641534543200
76322651140
oct1745151560
9605802380
10261411696
11124618527
1273667b00
13422099a0
1426a0a920
1517e3a4b6
hexf94d370

261411696 has 120 divisors (see below), whose sum is σ = 900463200. Its totient is φ = 68940288.

The previous prime is 261411691. The next prime is 261411701. The reversal of 261411696 is 696114162.

It is an interprime number because it is at equal distance from previous prime (261411691) and next prime (261411701).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 261411696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261411691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3130 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

Almost surely, 2261411696 is an apocalyptic number.

261411696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261411696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450231600).

261411696 is an abundant number, since it is smaller than the sum of its proper divisors (639051504).

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

261411696 is a wasteful number, since it uses less digits than its factorization.

261411696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19983 (or 19974 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 261411696 is about 16168.2310720746. The cubic root of 261411696 is about 639.4034936835.

The spelling of 261411696 in words is "two hundred sixty-one million, four hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 19949 39898 59847 79796 119694 139643 159592 179541 239388 259337 279286 319184 359082 418929 478776 518674 558572 718164 778011 837858 957552 1037348 1117144 1256787 1436328 1556022 1675716 1815359 2074696 2234288 2334033 2513574 2872656 3112044 3351432 3630718 4149392 4668066 5027148 5446077 6224088 6702864 7261436 9336132 10054296 10892154 12448176 14522872 16338231 18672264 20108592 21784308 29045744 32676462 37344528 43568616 65352924 87137232 130705848 261411696