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40120 = 2351759
BaseRepresentation
bin1001110010111000
32001000221
421302320
52240440
6505424
7224653
oct116270
961027
1040120
1128163
121b274
1315352
141089a
15bd4a
hex9cb8

40120 has 32 divisors (see below), whose sum is σ = 97200. Its totient is φ = 14848.

The previous prime is 40111. The next prime is 40123. The reversal of 40120 is 2104.

40120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401202 = 3219228800, which contains 22 as substring.

40120 is a modest number, since divided by 120 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40123) 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, 651 + ... + 709.

240120 is an apocalyptic number.

40120 is a gapful number since it is divisible by the number (40) 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 40120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

40120 is an abundant number, since it is smaller than the sum of its proper divisors (57080).

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

40120 is a wasteful number, since it uses less digits than its factorization.

40120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 40120 is about 200.2997753369. The cubic root of 40120 is about 34.2336843098.

Adding to 40120 its reverse (2104), we get a palindrome (42224).

The spelling of 40120 in words is "forty thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 4012 5015 8024 10030 20060 40120