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466240 = 2653147
BaseRepresentation
bin1110001110101000000
3212200120011
41301311000
5104404430
613554304
73651205
oct1616500
9780504
10466240
11299325
121a5994
131342a8
14c1cac
159322a
hex71d40

466240 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 176640.

The previous prime is 466201. The next prime is 466243. The reversal of 466240 is 42664.

466240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9897 + ... + 9943.

2466240 is an apocalyptic number.

466240 is a gapful number since it is divisible by the number (40) 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 466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

466240 is an abundant number, since it is smaller than the sum of its proper divisors (704192).

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

466240 is a wasteful number, since it uses less digits than its factorization.

466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 466240 is about 682.8176916279. The cubic root of 466240 is about 77.5419128129.

The spelling of 466240 in words is "four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 64 80 94 124 155 160 188 235 248 310 320 376 470 496 620 752 940 992 1240 1457 1504 1880 1984 2480 2914 3008 3760 4960 5828 7285 7520 9920 11656 14570 15040 23312 29140 46624 58280 93248 116560 233120 466240