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2138040 = 233255939
BaseRepresentation
bin1000001001111110111000
311000121211200
420021332320
51021404130
6113454200
724113232
oct10117670
94017750
102138040
111230383
12871360
1359b218
143d9252
152c3760
hex209fb8

2138040 has 48 divisors (see below), whose sum is σ = 6949800. Its totient is φ = 570048.

The previous prime is 2138033. The next prime is 2138093. The reversal of 2138040 is 408312.

It is a happy number.

2138040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2610 + ... + 3329.

22138040 is an apocalyptic number.

2138040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138040 is an abundant number, since it is smaller than the sum of its proper divisors (4811760).

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

2138040 is a wasteful number, since it uses less digits than its factorization.

2138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2138040 is about 1462.2038161624. The cubic root of 2138040 is about 128.8265200075.

The spelling of 2138040 in words is "two million, one hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5939 11878 17817 23756 29695 35634 47512 53451 59390 71268 89085 106902 118780 142536 178170 213804 237560 267255 356340 427608 534510 712680 1069020 2138040