Search a number
-
+
649620 = 22345401
BaseRepresentation
bin10011110100110010100
31020000010000
42132212110
5131241440
621531300
75343636
oct2364624
91200100
10649620
11404084
12273b30
131998ba
1412ca56
15cc730
hex9e994

649620 has 60 divisors (see below), whose sum is σ = 2042964. Its totient is φ = 172800.

The previous prime is 649619. The next prime is 649631. The reversal of 649620 is 26946.

649620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 156816 = 702^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6496202 = 844012288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 649620.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1420 + ... + 1820.

2649620 is an apocalyptic number.

649620 is a gapful number since it is divisible by the number (60) 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 649620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021482).

649620 is an abundant number, since it is smaller than the sum of its proper divisors (1393344).

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

649620 is a wasteful number, since it uses less digits than its factorization.

649620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 649620 is about 805.9900743806. The cubic root of 649620 is about 86.6070266866.

The spelling of 649620 in words is "six hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 401 405 540 802 810 1203 1604 1620 2005 2406 3609 4010 4812 6015 7218 8020 10827 12030 14436 18045 21654 24060 32481 36090 43308 54135 64962 72180 108270 129924 162405 216540 324810 649620