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120640 = 2651329
BaseRepresentation
bin11101011101000000
320010111011
4131131000
512330030
62330304
71011502
oct353500
9203434
10120640
1182703
1259994
1342bb0
1431d72
1525b2a
hex1d740

120640 has 56 divisors (see below), whose sum is σ = 320040. Its totient is φ = 43008.

The previous prime is 120623. The next prime is 120641. The reversal of 120640 is 46021.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 118336 = 48^2 + 344^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 120640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120641) 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, 4146 + ... + 4174.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

2120640 is an apocalyptic number.

120640 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 120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160020).

120640 is an abundant number, since it is smaller than the sum of its proper divisors (199400).

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

120640 is a wasteful number, since it uses less digits than its factorization.

120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120640 is about 347.3326935375. The cubic root of 120640 is about 49.4117735983.

Adding to 120640 its reverse (46021), we get a palindrome (166661).

The spelling of 120640 in words is "one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 130 145 160 208 232 260 290 320 377 416 464 520 580 754 832 928 1040 1160 1508 1856 1885 2080 2320 3016 3770 4160 4640 6032 7540 9280 12064 15080 24128 30160 60320 120640