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1424534000 = 24535389151
BaseRepresentation
bin101010011101000…
…1010100111110000
310200021111211021112
41110322022213300
510404140042000
6353204412452
750205224231
oct12472124760
93607454245
101424534000
1167112652a
123390a7128
1319918b836
14d729b088
15850de235
hex54e8a9f0

1424534000 has 160 divisors (see below), whose sum is σ = 3572449920. Its totient is φ = 549120000.

The previous prime is 1424533991. The next prime is 1424534009. The reversal of 1424534000 is 4354241.

It is an interprime number because it is at equal distance from previous prime (1424533991) and next prime (1424534009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424534009) 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, 9433925 + ... + 9434075.

It is an arithmetic number, because the mean of its divisors is an integer number (22327812).

Almost surely, 21424534000 is an apocalyptic number.

1424534000 is a gapful number since it is divisible by the number (10) 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 1424534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

1424534000 is an abundant number, since it is smaller than the sum of its proper divisors (2147915920).

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

1424534000 is a wasteful number, since it uses less digits than its factorization.

1424534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1424534000 is about 37742.9993508730. Note that the first 3 decimals coincide. The cubic root of 1424534000 is about 1125.1858787514.

Adding to 1424534000 its reverse (4354241), we get a palindrome (1428888241).

The spelling of 1424534000 in words is "one billion, four hundred twenty-four million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 89 100 106 125 151 178 200 212 250 265 302 356 400 424 445 500 530 604 712 755 848 890 1000 1060 1208 1325 1424 1510 1780 2000 2120 2225 2416 2650 3020 3560 3775 4240 4450 4717 5300 6040 6625 7120 7550 8003 8900 9434 10600 11125 12080 13250 13439 15100 16006 17800 18868 18875 21200 22250 23585 26500 26878 30200 32012 35600 37736 37750 40015 44500 47170 53000 53756 60400 64024 67195 75472 75500 80030 89000 94340 106000 107512 117925 128048 134390 151000 160060 178000 188680 200075 215024 235850 268780 302000 320120 335975 377360 400150 471700 537560 589625 640240 671950 712267 800300 943400 1000375 1075120 1179250 1343900 1424534 1600600 1679875 1886800 2000750 2358500 2687800 2849068 3201200 3359750 3561335 4001500 4717000 5375600 5698136 6719500 7122670 8003000 9434000 11396272 13439000 14245340 16006000 17806675 26878000 28490680 35613350 56981360 71226700 89033375 142453400 178066750 284906800 356133500 712267000 1424534000