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2530920 = 2335723131
BaseRepresentation
bin1001101001111001101000
311202120202210
421221321220
51121442140
6130125120
730340530
oct11517150
94676683
102530920
111479577
12a207a0
136a7cb2
1449c4c0
1534ed80
hex269e68

2530920 has 128 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 549120.

The previous prime is 2530907. The next prime is 2530921. The reversal of 2530920 is 290352.

2530920 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 (21).

It is not an unprimeable number, because it can be changed into a prime (2530921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19255 + ... + 19385.

It is an arithmetic number, because the mean of its divisors is an integer number (71280).

22530920 is an apocalyptic number.

2530920 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 2530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

2530920 is an abundant number, since it is smaller than the sum of its proper divisors (6592920).

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

2530920 is a wasteful number, since it uses less digits than its factorization.

2530920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2530920 is about 1590.8865452948. The cubic root of 2530920 is about 136.2781217379.

The spelling of 2530920 in words is "two million, five hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 131 138 140 161 168 184 210 230 262 276 280 322 345 393 420 460 483 524 552 644 655 690 786 805 840 917 920 966 1048 1288 1310 1380 1572 1610 1834 1932 1965 2415 2620 2751 2760 3013 3144 3220 3668 3864 3930 4585 4830 5240 5502 6026 6440 7336 7860 9039 9170 9660 11004 12052 13755 15065 15720 18078 18340 19320 21091 22008 24104 27510 30130 36156 36680 42182 45195 55020 60260 63273 72312 84364 90390 105455 110040 120520 126546 168728 180780 210910 253092 316365 361560 421820 506184 632730 843640 1265460 2530920