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2139940 = 2251171137
BaseRepresentation
bin1000001010011100100100
311000201110001
420022130210
51021434230
6113511044
724121615
oct10123444
94021401
102139940
111231850
12872484
1359c04a
143d9c0c
152c40ca
hex20a724

2139940 has 48 divisors (see below), whose sum is σ = 5007744. Its totient is φ = 761600.

The previous prime is 2139937. The next prime is 2139947. The reversal of 2139940 is 499312.

It is a happy number.

2139940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2139899 and 2139908.

It is not an unprimeable number, because it can be changed into a prime (2139947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15552 + ... + 15688.

It is an arithmetic number, because the mean of its divisors is an integer number (104328).

22139940 is an apocalyptic number.

2139940 is a gapful number since it is divisible by the number (20) 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 2139940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872).

2139940 is an abundant number, since it is smaller than the sum of its proper divisors (2867804).

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

2139940 is a wasteful number, since it uses less digits than its factorization.

2139940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2139940 is about 1462.8533761112. The cubic root of 2139940 is about 128.8646698890.

It can be divided in two parts, 213 and 9940, that added together give a triangular number (10153 = T142).

The spelling of 2139940 in words is "two million, one hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 137 142 220 274 284 355 548 685 710 781 1370 1420 1507 1562 2740 3014 3124 3905 6028 7535 7810 9727 15070 15620 19454 30140 38908 48635 97270 106997 194540 213994 427988 534985 1069970 2139940