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1468040 = 23573107
BaseRepresentation
bin101100110011010001000
32202120202212
411212122020
5333434130
651244252
715323000
oct5463210
92676685
101468040
11912a62
125a9688
133c5282
142a3000
151dee95
hex166688

1468040 has 64 divisors (see below), whose sum is σ = 3888000. Its totient is φ = 498624.

The previous prime is 1467989. The next prime is 1468079. The reversal of 1468040 is 408641.

It is a happy number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1467997 and 1468015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13667 + ... + 13773.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

21468040 is an apocalyptic number.

1468040 is a gapful number since it is divisible by the number (10) 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 1468040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944000).

1468040 is an abundant number, since it is smaller than the sum of its proper divisors (2419960).

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

1468040 is a wasteful number, since it uses less digits than its factorization.

1468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1468040 is about 1211.6270053115. The cubic root of 1468040 is about 113.6525793102.

The spelling of 1468040 in words is "one million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 107 140 196 214 245 280 343 392 428 490 535 686 749 856 980 1070 1372 1498 1715 1960 2140 2744 2996 3430 3745 4280 5243 5992 6860 7490 10486 13720 14980 20972 26215 29960 36701 41944 52430 73402 104860 146804 183505 209720 293608 367010 734020 1468040