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2013000 = 233531161
BaseRepresentation
bin111101011011101001000
310210021022120
413223131020
51003404000
6111051240
723052543
oct7533510
93707276
102013000
111155440
12810b20
13556332
143a585a
1529b6a0
hex1eb748

2013000 has 128 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 480000.

The previous prime is 2012971. The next prime is 2013001. The reversal of 2013000 is 3102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32970 + ... + 33030.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

22013000 is an apocalyptic number.

2013000 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 2013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2013000 is an abundant number, since it is smaller than the sum of its proper divisors (4950840).

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

2013000 is a wasteful number, since it uses less digits than its factorization.

2013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2013000 is about 1418.8023118109. The cubic root of 2013000 is about 126.2644985473.

Adding to 2013000 its reverse (3102), we get a palindrome (2016102).

The spelling of 2013000 in words is "two million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 61 66 75 88 100 110 120 122 125 132 150 165 183 200 220 244 250 264 275 300 305 330 366 375 440 488 500 550 600 610 660 671 732 750 825 915 1000 1100 1220 1320 1342 1375 1464 1500 1525 1650 1830 2013 2200 2440 2684 2750 3000 3050 3300 3355 3660 4026 4125 4575 5368 5500 6100 6600 6710 7320 7625 8052 8250 9150 10065 11000 12200 13420 15250 16104 16500 16775 18300 20130 22875 26840 30500 33000 33550 36600 40260 45750 50325 61000 67100 80520 83875 91500 100650 134200 167750 183000 201300 251625 335500 402600 503250 671000 1006500 2013000