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1047320964 = 22321929371427
BaseRepresentation
bin111110011011001…
…101100110000100
32200222201102021100
4332123031212010
54121103232324
6251531420100
734645036614
oct7633154604
92628642240
101047320964
11498204818
122528b4630
13138c98061
149d148a44
1561e2c4c9
hex3e6cd984

1047320964 has 144 divisors (see below), whose sum is σ = 2962814400. Its totient is φ = 310480128.

The previous prime is 1047320917. The next prime is 1047320971. The reversal of 1047320964 is 4690237401.

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 47 ways as a sum of consecutive naturals, for example, 733219 + ... + 734645.

It is an arithmetic number, because the mean of its divisors is an integer number (20575100).

Almost surely, 21047320964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047320964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481407200).

1047320964 is an abundant number, since it is smaller than the sum of its proper divisors (1915493436).

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

1047320964 is a wasteful number, since it uses less digits than its factorization.

1047320964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1047320964 is about 32362.3386670370. The cubic root of 1047320964 is about 1015.5311880643.

The spelling of 1047320964 in words is "one billion, forty-seven million, three hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 37 38 57 58 74 76 87 111 114 116 148 171 174 222 228 261 333 342 348 444 522 551 666 684 703 1044 1073 1102 1332 1406 1427 1653 2109 2146 2204 2812 2854 3219 3306 4218 4281 4292 4959 5708 6327 6438 6612 8436 8562 9657 9918 12654 12843 12876 17124 19314 19836 20387 25308 25686 27113 38628 40774 41383 51372 52799 54226 61161 81339 81548 82766 105598 108452 122322 124149 158397 162678 165532 183483 211196 244017 244644 248298 316794 325356 366966 372447 475191 488034 496596 633588 733932 744894 786277 950382 976068 1003181 1489788 1531171 1572554 1900764 2006362 2358831 3009543 3062342 3145108 4012724 4593513 4717662 6019086 6124684 7076493 9028629 9187026 9435324 12038172 13780539 14152986 18057258 18374052 27561078 28305972 29092249 36114516 55122156 58184498 87276747 116368996 174553494 261830241 349106988 523660482 1047320964