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467196340 = 225132517159
BaseRepresentation
bin11011110110001…
…101100110110100
31012120010000220011
4123312031212310
51424100240330
6114205350004
714402050312
oct3366154664
91176100804
10467196340
1121a7a1586
12110568304
1375a3ac50
14460970b2
152b03882a
hex1bd8d9b4

467196340 has 48 divisors (see below), whose sum is σ = 1060940160. Its totient is φ = 171792000.

The previous prime is 467196337. The next prime is 467196341. The reversal of 467196340 is 43691764.

It is a junction number, because it is equal to n+sod(n) for n = 467196293 and 467196302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467196341) 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 15 ways as a sum of consecutive naturals, for example, 61681 + ... + 68839.

It is an arithmetic number, because the mean of its divisors is an integer number (22102920).

Almost surely, 2467196340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467196340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530470080).

467196340 is an abundant number, since it is smaller than the sum of its proper divisors (593743820).

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

467196340 is a wasteful number, since it uses less digits than its factorization.

467196340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 467196340 is about 21614.7250734308. The cubic root of 467196340 is about 775.9489395850.

The spelling of 467196340 in words is "four hundred sixty-seven million, one hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 502 1004 1255 2510 3263 5020 6526 7159 13052 14318 16315 28636 32630 35795 65260 71590 93067 143180 186134 372268 465335 930670 1796909 1861340 3593818 7187636 8984545 17969090 23359817 35938180 46719634 93439268 116799085 233598170 467196340