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4140 = 2232523
BaseRepresentation
bin1000000101100
312200100
41000230
5113030
631100
715033
oct10054
95610
104140
113124
122490
131b66
14171a
151360
hex102c

4140 has 36 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1056.

The previous prime is 4139. The next prime is 4153. The reversal of 4140 is 414.

It is a tau number, because it is divible by the number of its divisors (36).

It is the 8-th Bell number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

24140 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 4140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

4140 is an abundant number, since it is smaller than the sum of its proper divisors (8964).

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

4140 is a wasteful number, since it uses less digits than its factorization.

4140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4140 is about 64.3428317686. The cubic root of 4140 is about 16.0570877363.

The spelling of 4140 in words is "four thousand, one hundred forty", and is thus an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140