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2026530 = 2325112389
BaseRepresentation
bin111101110110000100010
310210221212200
413232300202
51004322110
6111234030
723140152
oct7566042
93727780
102026530
111164620
12818916
1355c53c
143aa762
152a06c0
hex1eec22

2026530 has 96 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 464640.

The previous prime is 2026523. The next prime is 2026537. The reversal of 2026530 is 356202.

It is an interprime number because it is at equal distance from previous prime (2026523) and next prime (2026537).

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

It is not an unprimeable number, because it can be changed into a prime (2026537) 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 47 ways as a sum of consecutive naturals, for example, 22726 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

22026530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2026530 is an abundant number, since it is smaller than the sum of its proper divisors (4038750).

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

2026530 is a wasteful number, since it uses less digits than its factorization.

2026530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2026530 is about 1423.5624327721. The cubic root of 2026530 is about 126.5467547857.

It can be divided in two parts, 2026 and 530, that added together give a triangular number (2556 = T71).

The spelling of 2026530 in words is "two million, twenty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 89 90 99 110 115 138 165 178 198 207 230 253 267 330 345 414 445 495 506 534 690 759 801 890 979 990 1035 1265 1335 1518 1602 1958 2047 2070 2277 2530 2670 2937 3795 4005 4094 4554 4895 5874 6141 7590 8010 8811 9790 10235 11385 12282 14685 17622 18423 20470 22517 22770 29370 30705 36846 44055 45034 61410 67551 88110 92115 112585 135102 184230 202653 225170 337755 405306 675510 1013265 2026530