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1045431120 = 243541106243
BaseRepresentation
bin111110010100000…
…000001101010000
32200212011101220010
4332110000031100
54120112243440
6251423114520
734623006066
oct7624001520
92625141803
101045431120
11497133968
12252142a40
13138785ac6
149cbb6036
1561ba7580
hex3e500350

1045431120 has 80 divisors (see below), whose sum is σ = 3319912512. Its totient is φ = 271979520.

The previous prime is 1045431119. The next prime is 1045431131. The reversal of 1045431120 is 211345401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43282 + ... + 62961.

Almost surely, 21045431120 is an apocalyptic number.

1045431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045431120 is an abundant number, since it is smaller than the sum of its proper divisors (2274481392).

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

1045431120 is a wasteful number, since it uses less digits than its factorization.

1045431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106300 (or 106294 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1045431120 is about 32333.1272845668. The cubic root of 1045431120 is about 1014.9199933701.

Adding to 1045431120 its reverse (211345401), we get a palindrome (1256776521).

The spelling of 1045431120 in words is "one billion, forty-five million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 106243 212486 318729 424972 531215 637458 849944 1062430 1274916 1593645 1699888 2124860 2549832 3187290 4249720 4355963 5099664 6374580 8499440 8711926 12749160 13067889 17423852 21779815 25498320 26135778 34847704 43559630 52271556 65339445 69695408 87119260 104543112 130678890 174238520 209086224 261357780 348477040 522715560 1045431120