Search a number
-
+
270408 = 23319593
BaseRepresentation
bin1000010000001001000
3111201221010
41002001020
532123113
65443520
72204235
oct1020110
9451833
10270408
11175186
121105a0
1396108
147078c
15551c3
hex42048

270408 has 32 divisors (see below), whose sum is σ = 712800. Its totient is φ = 85248.

The previous prime is 270407. The next prime is 270421. The reversal of 270408 is 804072.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270408.

It is not an unprimeable number, because it can be changed into a prime (270407) 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, 160 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2270408 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 270408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

270408 is an abundant number, since it is smaller than the sum of its proper divisors (442392).

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

270408 is a wasteful number, since it uses less digits than its factorization.

270408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 270408 is about 520.0076922508. The cubic root of 270408 is about 64.6655802182.

The spelling of 270408 in words is "two hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 593 1186 1779 2372 3558 4744 7116 11267 14232 22534 33801 45068 67602 90136 135204 270408