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1470045456 = 243311228123
BaseRepresentation
bin101011110011111…
…0001110100010000
310210110011001021000
41113213301310100
511002312423311
6401512102000
751300115545
oct12747616420
93713131230
101470045456
11694890a00
12350394900
131a5734ba9
14dd346bcc
15890ce056
hex579f1d10

1470045456 has 120 divisors (see below), whose sum is σ = 4638210080. Its totient is φ = 445452480.

The previous prime is 1470045413. The next prime is 1470045463. The reversal of 1470045456 is 6545400741.

It is a super-2 number, since 2×14700454562 = 4322067285412495872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1470045456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38211 + ... + 66333.

Almost surely, 21470045456 is an apocalyptic number.

1470045456 is a gapful number since it is divisible by the number (16) 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 1470045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319105040).

1470045456 is an abundant number, since it is smaller than the sum of its proper divisors (3168164624).

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

1470045456 is a wasteful number, since it uses less digits than its factorization.

1470045456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28162 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1470045456 is about 38341.1718130784. The cubic root of 1470045456 is about 1137.0430849513.

The spelling of 1470045456 in words is "one billion, four hundred seventy million, forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 28123 52272 56246 84369 112492 168738 224984 253107 309353 337476 449968 506214 618706 674952 759321 928059 1012428 1237412 1349904 1518642 1856118 2024856 2474824 2784177 3037284 3402883 3712236 4049712 4949648 5568354 6074568 6805766 7424472 8352531 10208649 11136708 12149136 13611532 14848944 16705062 20417298 22273416 27223064 30625947 33410124 40834596 44546832 54446128 61251894 66820248 81669192 91877841 122503788 133640496 163338384 183755682 245007576 367511364 490015152 735022728 1470045456