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1500145080 = 2335712011487
BaseRepresentation
bin101100101101010…
…0110010110111000
310212112210021011220
41121122212112320
511033014120310
6404505152040
752114010550
oct13132462670
93775707156
101500145080
116aa87a225
1235a48b620
131aba43315
14103340160
158ba77670
hex596a65b8

1500145080 has 128 divisors (see below), whose sum is σ = 5151098880. Its totient is φ = 342374400.

The previous prime is 1500145069. The next prime is 1500145081. The reversal of 1500145080 is 805410051.

It is a super-2 number, since 2×15001450802 = 4500870522096412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1500145080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500145081) 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, 1008097 + ... + 1009583.

It is an arithmetic number, because the mean of its divisors is an integer number (40242960).

Almost surely, 21500145080 is an apocalyptic number.

1500145080 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 1500145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575549440).

1500145080 is an abundant number, since it is smaller than the sum of its proper divisors (3650953800).

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

1500145080 is a wasteful number, since it uses less digits than its factorization.

1500145080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1500145080 is about 38731.7063915341. The cubic root of 1500145080 is about 1144.7511469507.

The spelling of 1500145080 in words is "one billion, five hundred million, one hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1201 1487 2402 2974 3603 4461 4804 5948 6005 7206 7435 8407 8922 9608 10409 11896 12010 14412 14870 16814 17844 18015 20818 22305 24020 25221 28824 29740 31227 33628 35688 36030 41636 42035 44610 48040 50442 52045 59480 62454 67256 72060 83272 84070 89220 100884 104090 124908 126105 144120 156135 168140 178440 201768 208180 249816 252210 312270 336280 416360 504420 624540 1008840 1249080 1785887 3571774 5357661 7143548 8929435 10715322 12501209 14287096 17858870 21430644 25002418 26788305 35717740 37503627 42861288 50004836 53576610 62506045 71435480 75007254 100009672 107153220 125012090 150014508 187518135 214306440 250024180 300029016 375036270 500048360 750072540 1500145080