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2134000 = 24531197
BaseRepresentation
bin1000001000111111110000
311000102022001
420020333300
51021242000
6113423344
724065401
oct10107760
94012261
102134000
111228340
1286ab54
1359942b
143d79a8
152c246a
hex208ff0

2134000 has 80 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 768000.

The previous prime is 2133997. The next prime is 2134003. The reversal of 2134000 is 4312.

It is an interprime number because it is at equal distance from previous prime (2133997) and next prime (2134003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134003) 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, 21952 + ... + 22048.

22134000 is an apocalyptic number.

2134000 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 2134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2134000 is an abundant number, since it is smaller than the sum of its proper divisors (3553136).

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

2134000 is a wasteful number, since it uses less digits than its factorization.

2134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2134000 is about 1460.8216865860. The cubic root of 2134000 is about 128.7453261256.

Adding to 2134000 its reverse (4312), we get a palindrome (2138312).

The spelling of 2134000 in words is "two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 125 176 194 200 220 250 275 388 400 440 485 500 550 776 880 970 1000 1067 1100 1375 1552 1940 2000 2134 2200 2425 2750 3880 4268 4400 4850 5335 5500 7760 8536 9700 10670 11000 12125 17072 19400 21340 22000 24250 26675 38800 42680 48500 53350 85360 97000 106700 133375 194000 213400 266750 426800 533500 1067000 2134000