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1045213104 = 2431319233833
BaseRepresentation
bin111110010011001…
…010111110110000
32200211202022211110
4332103022332300
54120033304404
6251414313320
734621110345
oct7623127660
92624668743
101045213104
11496aa5091
12252058840
1313870a7c0
149cb5a7cc
1561b62b89
hex3e4cafb0

1045213104 has 160 divisors (see below), whose sum is σ = 3194795520. Its totient is φ = 291354624.

The previous prime is 1045213061. The next prime is 1045213109. The reversal of 1045213104 is 4013125401.

It is not an unprimeable number, because it can be changed into a prime (1045213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270772 + ... + 274604.

It is an arithmetic number, because the mean of its divisors is an integer number (19967472).

Almost surely, 21045213104 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 1045213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597397760).

1045213104 is an abundant number, since it is smaller than the sum of its proper divisors (2149582416).

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

1045213104 is a wasteful number, since it uses less digits than its factorization.

1045213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3893 counting only the distinct ones).

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

The square root of 1045213104 is about 32329.7557058509. The cubic root of 1045213104 is about 1014.8494374129.

Adding to 1045213104 its reverse (4013125401), we get a palindrome (5058338505).

The spelling of 1045213104 in words is "one billion, forty-five million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 23 24 26 38 39 46 48 52 57 69 76 78 92 104 114 138 152 156 184 208 228 247 276 299 304 312 368 437 456 494 552 598 624 741 874 897 912 988 1104 1196 1311 1482 1748 1794 1976 2392 2622 2964 3496 3588 3833 3952 4784 5244 5681 5928 6992 7176 7666 10488 11362 11499 11856 14352 15332 17043 20976 22724 22998 30664 34086 45448 45996 49829 61328 68172 72827 88159 90896 91992 99658 136344 145654 149487 176318 183984 199316 218481 264477 272688 291308 298974 352636 398632 436962 528954 582616 597948 705272 797264 873924 946751 1057908 1146067 1165232 1195896 1410544 1675021 1747848 1893502 2115816 2292134 2391792 2840253 3350042 3438201 3495696 3787004 4231632 4584268 5025063 5680506 6700084 6876402 7574008 9168536 10050126 11361012 13400168 13752804 15148016 18337072 20100252 21775273 22722024 26800336 27505608 40200504 43550546 45444048 55011216 65325819 80401008 87101092 130651638 174202184 261303276 348404368 522606552 1045213104