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468690 = 23517919
BaseRepresentation
bin1110010011011010010
3212210220220
41302123102
5104444230
614013510
73661305
oct1623322
9783826
10468690
112a0152
121a7296
13135441
14c2b3c
1593d10
hex726d2

468690 has 32 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 117504.

The previous prime is 468683. The next prime is 468691. The reversal of 468690 is 96864.

It is a super-2 number, since 2×4686902 = 439340632200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468691) 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, 51 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2468690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

468690 is an abundant number, since it is smaller than the sum of its proper divisors (723630).

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

468690 is a wasteful number, since it uses less digits than its factorization.

468690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468690 is about 684.6093776746. The cubic root of 468690 is about 77.6774981261.

The spelling of 468690 in words is "four hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 919 1838 2757 4595 5514 9190 13785 15623 27570 31246 46869 78115 93738 156230 234345 468690