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2002320 = 24355103
BaseRepresentation
bin111101000110110010000
310202201200000
413220312100
51003033240
6110530000
723006445
oct7506620
93681600
102002320
111148411
12806900
13551508
143a19cc
15298430
hex1e8d90

2002320 has 120 divisors (see below), whose sum is σ = 7041216. Its totient is φ = 528768.

The previous prime is 2002313. The next prime is 2002327. The reversal of 2002320 is 232002.

2002320 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (2002313) and next prime (2002327).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2002327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19389 + ... + 19491.

22002320 is an apocalyptic number.

2002320 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 2002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520608).

2002320 is an abundant number, since it is smaller than the sum of its proper divisors (5038896).

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

2002320 is a wasteful number, since it uses less digits than its factorization.

2002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2002320 is about 1415.0335685064. The cubic root of 2002320 is about 126.0408031117.

Adding to 2002320 its reverse (232002), we get a palindrome (2234322).

The spelling of 2002320 in words is "two million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 103 108 120 135 144 162 180 206 216 240 243 270 309 324 360 405 412 432 486 515 540 618 648 720 810 824 927 972 1030 1080 1215 1236 1296 1545 1620 1648 1854 1944 2060 2160 2430 2472 2781 3090 3240 3708 3888 4120 4635 4860 4944 5562 6180 6480 7416 8240 8343 9270 9720 11124 12360 13905 14832 16686 18540 19440 22248 24720 25029 27810 33372 37080 41715 44496 50058 55620 66744 74160 83430 100116 111240 125145 133488 166860 200232 222480 250290 333720 400464 500580 667440 1001160 2002320