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1405248 = 26313563
BaseRepresentation
bin101010111000101000000
32122101122020
411113011000
5324431443
650041440
714641635
oct5270500
92571566
101405248
1187a869
12579280
133a2810
1428818c
151cb583
hex157140

1405248 has 56 divisors (see below), whose sum is σ = 4011168. Its totient is φ = 431616.

The previous prime is 1405247. The next prime is 1405249. The reversal of 1405248 is 8425041.

It is an interprime number because it is at equal distance from previous prime (1405247) and next prime (1405249).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405241) 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, 2215 + ... + 2777.

It is an arithmetic number, because the mean of its divisors is an integer number (71628).

21405248 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 1405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005584).

1405248 is an abundant number, since it is smaller than the sum of its proper divisors (2605920).

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

1405248 is a wasteful number, since it uses less digits than its factorization.

1405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1405248 is about 1185.4315669831. The cubic root of 1405248 is about 112.0085027558.

It can be divided in two parts, 1405 and 248, that added together give a triangular number (1653 = T57).

The spelling of 1405248 in words is "one million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 563 624 832 1126 1248 1689 2252 2496 3378 4504 6756 7319 9008 13512 14638 18016 21957 27024 29276 36032 43914 54048 58552 87828 108096 117104 175656 234208 351312 468416 702624 1405248