[go: up one dir, main page]

Search a number
-
+
690048 = 2732599
BaseRepresentation
bin10101000011110000000
31022001120100
42220132000
5134040143
622442400
75602542
oct2503600
91261510
10690048
11431497
12293400
131b2118
1413d692
15d96d3
hexa8780

690048 has 48 divisors (see below), whose sum is σ = 1989000. Its totient is φ = 229632.

The previous prime is 690037. The next prime is 690059. The reversal of 690048 is 840096.

It is an interprime number because it is at equal distance from previous prime (690037) and next prime (690059).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

690048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 853 + ... + 1451.

2690048 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 690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994500).

690048 is an abundant number, since it is smaller than the sum of its proper divisors (1298952).

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

690048 is a wasteful number, since it uses less digits than its factorization.

690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 690048 is about 830.6912783941. The cubic root of 690048 is about 88.3676082330.

The spelling of 690048 in words is "six hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 599 1152 1198 1797 2396 3594 4792 5391 7188 9584 10782 14376 19168 21564 28752 38336 43128 57504 76672 86256 115008 172512 230016 345024 690048