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460147436 = 22729724203
BaseRepresentation
bin11011011011010…
…100101011101100
31012001211220121122
4123123110223230
51420244204221
6113354320112
714255121500
oct3333245354
91161756548
10460147436
11216817641
1210a129038
13744406b8
1445180300
152a5e4eab
hex1b6d4aec

460147436 has 36 divisors (see below), whose sum is σ = 946424808. Its totient is φ = 195164928.

The previous prime is 460147427. The next prime is 460147439. The reversal of 460147436 is 634741064.

It is a junction number, because it is equal to n+sod(n) for n = 460147396 and 460147405.

It is not an unprimeable number, because it can be changed into a prime (460147439) 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 11 ways as a sum of consecutive naturals, for example, 6911 + ... + 31113.

It is an arithmetic number, because the mean of its divisors is an integer number (26289578).

Almost surely, 2460147436 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 460147436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473212404).

460147436 is an abundant number, since it is smaller than the sum of its proper divisors (486277372).

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

460147436 is a wasteful number, since it uses less digits than its factorization.

460147436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24318 (or 24309 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 460147436 is about 21451.0474336336. The cubic root of 460147436 is about 772.0267268616.

The spelling of 460147436 in words is "four hundred sixty million, one hundred forty-seven thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 9506 19012 24203 48406 96812 169421 338842 677684 1185947 2347691 2371894 4695382 4743788 9390764 16433837 32867674 65735348 115036859 230073718 460147436