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468860 = 225717197
BaseRepresentation
bin1110010011101111100
3212211011012
41302131330
5110000420
614014352
73661640
oct1623574
9784135
10468860
112a0297
121a73b8
13135542
14c2c20
1593dc5
hex7277c

468860 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 150528.

The previous prime is 468859. The next prime is 468869. The reversal of 468860 is 68864.

468860 = 1582 + 1592 + ... + 1742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2282 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2468860 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 468860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

468860 is an abundant number, since it is smaller than the sum of its proper divisors (728644).

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

468860 is a wasteful number, since it uses less digits than its factorization.

468860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 468860 is about 684.7335248109. The cubic root of 468860 is about 77.6868885394.

The spelling of 468860 in words is "four hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 197 238 340 394 476 595 788 985 1190 1379 1970 2380 2758 3349 3940 5516 6698 6895 13396 13790 16745 23443 27580 33490 46886 66980 93772 117215 234430 468860