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1047090100 = 225273173661
BaseRepresentation
bin111110011010010…
…101001110110100
32200222021200120211
4332122111032310
54121023340400
6251522435204
734643055550
oct7632251664
92628250524
101047090100
11498067321
12252802b04
13138c16c54
149d0c8860
1561dd3dba
hex3e6953b4

1047090100 has 144 divisors (see below), whose sum is σ = 2721381376. Its totient is φ = 342144000.

The previous prime is 1047090089. The next prime is 1047090127. The reversal of 1047090100 is 10907401.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1583770 + ... + 1584430.

Almost surely, 21047090100 is an apocalyptic number.

1047090100 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 1047090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360690688).

1047090100 is an abundant number, since it is smaller than the sum of its proper divisors (1674291276).

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

1047090100 is a wasteful number, since it uses less digits than its factorization.

1047090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1047090100 is about 32358.7716083290. The cubic root of 1047090100 is about 1015.4565637517.

Adding to 1047090100 its reverse (10907401), we get a palindrome (1057997501).

The spelling of 1047090100 in words is "one billion, forty-seven million, ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 73 100 124 140 146 155 175 217 292 310 350 365 434 511 620 661 700 730 775 868 1022 1085 1322 1460 1550 1825 2044 2170 2263 2555 2644 3100 3305 3650 4340 4526 4627 5110 5425 6610 7300 9052 9254 10220 10850 11315 12775 13220 15841 16525 18508 20491 21700 22630 23135 25550 31682 33050 40982 45260 46270 48253 51100 56575 63364 66100 79205 81964 92540 96506 102455 113150 115675 143437 158410 193012 204910 226300 231350 241265 286874 316820 337771 396025 409820 462700 482530 512275 573748 675542 717185 792050 965060 1024550 1206325 1351084 1434370 1495843 1584100 1688855 2049100 2412650 2868740 2991686 3377710 3585925 4825300 5983372 6755420 7171850 7479215 8444275 10470901 14343700 14958430 16888550 20941802 29916860 33777100 37396075 41883604 52354505 74792150 104709010 149584300 209418020 261772525 523545050 1047090100