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264096196 = 227134347359
BaseRepresentation
bin11111011110111…
…00100111000100
3200101221110212121
433233130213010
51020102034241
642112255324
76354531520
oct1757344704
9611843777
10264096196
11126091421
1274541544
1342939850
1427108d80
15182baad1
hexfbdc9c4

264096196 has 96 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 99598464.

The previous prime is 264096193. The next prime is 264096199. The reversal of 264096196 is 691690462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264096193) and next prime (264096199).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (264096193) 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, 735465 + ... + 735823.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2264096196 is an apocalyptic number.

264096196 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 264096196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

264096196 is an abundant number, since it is smaller than the sum of its proper divisors (331994684).

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

264096196 is a wasteful number, since it uses less digits than its factorization.

264096196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 264096196 is about 16251.0367669266. The cubic root of 264096196 is about 641.5847737020.

The spelling of 264096196 in words is "two hundred sixty-four million, ninety-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 43 47 52 86 91 94 172 182 188 301 329 359 364 559 602 611 658 718 1118 1204 1222 1316 1436 2021 2236 2444 2513 3913 4042 4277 4667 5026 7826 8084 8554 9334 10052 14147 15437 15652 16873 17108 18668 26273 28294 30874 32669 33746 52546 56588 61748 65338 67492 105092 108059 118111 130676 183911 200681 216118 219349 236222 367822 401362 432236 438698 472444 725539 735644 802724 877396 1404767 1451078 1535443 2809534 2902156 3070886 5078773 5619068 6141772 9432007 10157546 18864014 20315092 37728028 66024049 132048098 264096196