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1099860390 = 233517832887
BaseRepresentation
bin100000110001110…
…1000100110100110
32211122120200211000
41001203220212212
54223031013030
6301045454130
736153442026
oct10143504646
92748520730
101099860390
1151492a432
12268411346
13146b32285
14a6103a86
1566859860
hex418e89a6

1099860390 has 128 divisors (see below), whose sum is σ = 3143992320. Its totient is φ = 272623104.

The previous prime is 1099860389. The next prime is 1099860397. The reversal of 1099860390 is 930689901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099860397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379527 + ... + 382413.

It is an arithmetic number, because the mean of its divisors is an integer number (24562440).

Almost surely, 21099860390 is an apocalyptic number.

1099860390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099860390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571996160).

1099860390 is an abundant number, since it is smaller than the sum of its proper divisors (2044131930).

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

1099860390 is a wasteful number, since it uses less digits than its factorization.

1099860390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1099860390 is about 33164.1431368278. The cubic root of 1099860390 is about 1032.2364419035.

The spelling of 1099860390 in words is "one billion, ninety-nine million, eight hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 83 85 90 102 135 153 166 170 249 255 270 306 415 459 498 510 747 765 830 918 1245 1411 1494 1530 2241 2295 2490 2822 2887 3735 4233 4482 4590 5774 7055 7470 8466 8661 11205 12699 14110 14435 17322 21165 22410 25398 25983 28870 38097 42330 43305 49079 51966 63495 76194 77949 86610 98158 126990 129915 147237 155898 190485 239621 245395 259830 294474 380970 389745 441711 479242 490790 718863 736185 779490 883422 1198105 1325133 1437726 1472370 2156589 2208555 2396210 2650266 3594315 4073557 4313178 4417110 6469767 6625665 7188630 8147114 10782945 12220671 12939534 13251330 20367785 21565890 24441342 32348835 36662013 40735570 61103355 64697670 73324026 109986039 122206710 183310065 219972078 366620130 549930195 1099860390