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1415078080 = 265133110973
BaseRepresentation
bin101010001011000…
…0110000011000000
310122121201102012021
41110112012003000
510344224444310
6352230011224
750031652033
oct12426060300
93577642167
101415078080
11666858119
12335aa6b14
1319722a810
14d5d1901a
15843725da
hex545860c0

1415078080 has 112 divisors (see below), whose sum is σ = 3746260224. Its totient is φ = 505589760.

The previous prime is 1415078057. The next prime is 1415078081. The reversal of 1415078080 is 808705141.

It is not an unprimeable number, because it can be changed into a prime (1415078081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123474 + ... + 134446.

It is an arithmetic number, because the mean of its divisors is an integer number (33448752).

Almost surely, 21415078080 is an apocalyptic number.

1415078080 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 1415078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873130112).

1415078080 is an abundant number, since it is smaller than the sum of its proper divisors (2331182144).

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

1415078080 is a wasteful number, since it uses less digits than its factorization.

1415078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11024 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 1415078080 is about 37617.5235761207. The cubic root of 1415078080 is about 1122.6907244171.

The spelling of 1415078080 in words is "one billion, four hundred fifteen million, seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 8060 9920 10973 12896 16120 21946 25792 32240 43892 54865 64480 87784 109730 128960 142649 175568 219460 285298 340163 351136 438920 570596 680326 702272 713245 877840 1141192 1360652 1426490 1700815 1755680 2282384 2721304 2852980 3401630 3511360 4422119 4564768 5442608 5705960 6803260 8844238 9129536 10885216 11411920 13606520 17688476 21770432 22110595 22823840 27213040 35376952 44221190 45647680 54426080 70753904 88442380 108852160 141507808 176884760 283015616 353769520 707539040 1415078080