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632640 = 2635659
BaseRepresentation
bin10011010011101000000
31012010211010
42122131000
5130221030
621320520
75243301
oct2323500
91163733
10632640
113a2348
12266140
13191c58
141267a8
15c76b0
hex9a740

632640 has 56 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 168448.

The previous prime is 632629. The next prime is 632647. The reversal of 632640 is 46236.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632647) 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, 631 + ... + 1289.

2632640 is an apocalyptic number.

632640 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 632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

632640 is an abundant number, since it is smaller than the sum of its proper divisors (1379040).

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

632640 is a wasteful number, since it uses less digits than its factorization.

632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 632640 is about 795.3866984052. The cubic root of 632640 is about 85.8457664670.

Adding to 632640 its reverse (46236), we get a palindrome (678876).

The spelling of 632640 in words is "six hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 659 960 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 21088 26360 31632 39540 42176 52720 63264 79080 105440 126528 158160 210880 316320 632640