Search a number
-
+
1045707912 = 23323721032
BaseRepresentation
bin111110010101000…
…011110010001000
32200212200110120200
4332111003302020
54120200123122
6251433052200
734625241054
oct7625036210
92625613520
101045707912
11497302917
12252257060
13138851aa2
149cc48c64
1561c0e5ac
hex3e543c88

1045707912 has 108 divisors (see below), whose sum is σ = 2939272245. Its totient is φ = 335855808.

The previous prime is 1045707889. The next prime is 1045707931. The reversal of 1045707912 is 2197075401.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1045707912 is a `hidden beast` number, since 1 + 0 + 4 + 570 + 79 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 843670116 + 202037796 = 29046^2 + 14214^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10152453 + ... + 10152555.

Almost surely, 21045707912 is an apocalyptic number.

1045707912 is a gapful number since it is divisible by the number (12) 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 1045707912

1045707912 is an abundant number, since it is smaller than the sum of its proper divisors (1893564333).

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

1045707912 is a wasteful number, since it uses less digits than its factorization.

1045707912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1045707912 is about 32337.4073172232. The cubic root of 1045707912 is about 1015.0095567220.

The spelling of 1045707912 in words is "one billion, forty-five million, seven hundred seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 103 111 148 206 222 296 309 333 412 444 618 666 824 888 927 1236 1332 1369 1854 2472 2664 2738 3708 3811 4107 5476 7416 7622 8214 10609 10952 11433 12321 15244 16428 21218 22866 24642 30488 31827 32856 34299 42436 45732 49284 63654 68598 84872 91464 95481 98568 127308 137196 141007 190962 254616 274392 282014 381924 392533 423021 564028 763848 785066 846042 1128056 1177599 1269063 1570132 1692084 2355198 2538126 3140264 3384168 3532797 4710396 5076252 7065594 9420792 10152504 14131188 14523721 28262376 29047442 43571163 58094884 87142326 116189768 130713489 174284652 261426978 348569304 522853956 1045707912