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1045315530 = 2355728779
BaseRepresentation
bin111110010011100…
…011111111001010
32200211221112100000
4332103203333022
54120100044110
6251420423430
734622015100
oct7623437712
92624845300
101045315530
11497065036
122520a7b76
131387452cc
149cb85c70
1561b831c0
hex3e4e3fca

1045315530 has 144 divisors (see below), whose sum is σ = 3279013920. Its totient is φ = 238902048.

The previous prime is 1045315519. The next prime is 1045315547. The reversal of 1045315530 is 355135401.

1045315530 is a `hidden beast` number, since 104 + 5 + 3 + 1 + 553 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1045315494 and 1045315503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114681 + ... + 123459.

It is an arithmetic number, because the mean of its divisors is an integer number (22770930).

Almost surely, 21045315530 is an apocalyptic number.

1045315530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045315530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639506960).

1045315530 is an abundant number, since it is smaller than the sum of its proper divisors (2233698390).

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

1045315530 is an equidigital number, since it uses as much as digits as its factorization.

1045315530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1045315530 is about 32331.3397495371. The cubic root of 1045315530 is about 1014.8825864976.

The spelling of 1045315530 in words is "one billion, forty-five million, three hundred fifteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 378 405 441 486 490 567 630 735 810 882 945 1134 1215 1323 1470 1701 1890 2205 2430 2646 2835 3402 3969 4410 5670 6615 7938 8505 8779 11907 13230 17010 17558 19845 23814 26337 39690 43895 52674 59535 61453 79011 87790 119070 122906 131685 158022 184359 237033 263370 307265 368718 395055 430171 474066 553077 614530 711099 790110 860342 921795 1106154 1185165 1290513 1422198 1659231 1843590 2133297 2150855 2370330 2581026 2765385 3318462 3555495 3871539 4266594 4301710 4977693 5530770 6452565 7110990 7743078 8296155 9955386 10666485 11614617 12905130 14933079 16592310 19357695 21332970 23229234 24888465 29866158 34843851 38715390 49776930 58073085 69687702 74665395 104531553 116146170 149330790 174219255 209063106 348438510 522657765 1045315530