Search a number
-
+
1628480 = 2657727
BaseRepresentation
bin110001101100101000000
310001201212002
412031211000
5404102410
654523132
716561520
oct6154500
93051762
101628480
11a12557
126664a8
134502c9
14305680
152227a5
hex18d940

1628480 has 56 divisors (see below), whose sum is σ = 4437888. Its totient is φ = 557568.

The previous prime is 1628477. The next prime is 1628489. The reversal of 1628480 is 848261.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×16284802 = 5303894220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628489) 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, 1877 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

21628480 is an apocalyptic number.

1628480 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 1628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218944).

1628480 is an abundant number, since it is smaller than the sum of its proper divisors (2809408).

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

1628480 is an equidigital number, since it uses as much as digits as its factorization.

1628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1628480 is about 1276.1191166972. The cubic root of 1628480 is about 117.6505991091.

The spelling of 1628480 in words is "one million, six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 727 1120 1454 2240 2908 3635 5089 5816 7270 10178 11632 14540 20356 23264 25445 29080 40712 46528 50890 58160 81424 101780 116320 162848 203560 232640 325696 407120 814240 1628480