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1427447520 = 253254632141
BaseRepresentation
bin101010100010101…
…0001111011100000
310200110222211212200
41111011101323200
510410411310040
6353351053200
750242050402
oct12505217340
93613884780
101427447520
116728364a4
1233a071200
1319996ba05
14d7818b72
15854b7630
hex55151ee0

1427447520 has 144 divisors (see below), whose sum is σ = 4883965632. Its totient is φ = 379653120.

The previous prime is 1427447509. The next prime is 1427447521. The reversal of 1427447520 is 257447241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427447521) 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, 665650 + ... + 667790.

It is an arithmetic number, because the mean of its divisors is an integer number (33916428).

Almost surely, 21427447520 is an apocalyptic number.

1427447520 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 1427447520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441982816).

1427447520 is an abundant number, since it is smaller than the sum of its proper divisors (3456518112).

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

1427447520 is a wasteful number, since it uses less digits than its factorization.

1427447520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 1427447520 is about 37781.5764626094. The cubic root of 1427447520 is about 1125.9524497039.

The spelling of 1427447520 in words is "one billion, four hundred twenty-seven million, four hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 463 480 720 926 1389 1440 1852 2141 2315 2778 3704 4167 4282 4630 5556 6423 6945 7408 8334 8564 9260 10705 11112 12846 13890 14816 16668 17128 18520 19269 20835 21410 22224 25692 27780 32115 33336 34256 37040 38538 41670 42820 44448 51384 55560 64230 66672 68512 74080 77076 83340 85640 96345 102768 111120 128460 133344 154152 166680 171280 192690 205536 222240 256920 308304 333360 342560 385380 513840 616608 666720 770760 991283 1027680 1541520 1982566 2973849 3083040 3965132 4956415 5947698 7930264 8921547 9912830 11895396 14869245 15860528 17843094 19825660 23790792 29738490 31721056 35686188 39651320 44607735 47581584 59476980 71372376 79302640 89215470 95163168 118953960 142744752 158605280 178430940 237907920 285489504 356861880 475815840 713723760 1427447520