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1045553300 = 2252114197239
BaseRepresentation
bin111110010100011…
…110000010010100
32200212101121111022
4332110132002110
54120130201200
6251425500312
734624025231
oct7624360224
92625347438
101045553300
11497207740
122521a1698
131387c95bc
149cc08788
1561bcd885
hex3e51e094

1045553300 has 144 divisors (see below), whose sum is σ = 2572335360. Its totient is φ = 365568000.

The previous prime is 1045553293. The next prime is 1045553303. The reversal of 1045553300 is 33555401.

It is a self number, because there is not a number n which added to its sum of digits gives 1045553300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045553303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4374581 + ... + 4374819.

It is an arithmetic number, because the mean of its divisors is an integer number (17863440).

Almost surely, 21045553300 is an apocalyptic number.

1045553300 is a gapful number since it is divisible by the number (10) 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 1045553300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286167680).

1045553300 is an abundant number, since it is smaller than the sum of its proper divisors (1526782060).

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

1045553300 is a wasteful number, since it uses less digits than its factorization.

1045553300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1045553300 is about 32335.0166228502. The cubic root of 1045553300 is about 1014.9595298803.

The spelling of 1045553300 in words is "one billion, forty-five million, five hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 97 100 110 164 194 205 220 239 275 388 410 451 478 485 550 820 902 956 970 1025 1067 1100 1195 1804 1940 2050 2134 2255 2390 2425 2629 3977 4100 4268 4510 4780 4850 5258 5335 5975 7954 9020 9700 9799 10516 10670 11275 11950 13145 15908 19598 19885 21340 22550 23183 23900 26290 26675 39196 39770 43747 45100 46366 48995 52580 53350 65725 79540 87494 92732 97990 99425 106700 107789 115915 131450 174988 195980 198850 215578 218735 231830 244975 255013 262900 397700 431156 437470 463660 489950 510026 538945 579575 874940 950503 979900 1020052 1077890 1093675 1159150 1275065 1901006 2155780 2187350 2318300 2550130 2694725 3802012 4374700 4752515 5100260 5389450 6375325 9505030 10455533 10778900 12750650 19010060 20911066 23762575 25501300 41822132 47525150 52277665 95050300 104555330 209110660 261388325 522776650 1045553300