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1149668190 = 2325112193547
BaseRepresentation
bin100010010000110…
…1000101101011110
32222010022012021100
41010201220231132
54323303340230
6310025213530
740330006206
oct10441505536
92863265240
101149668190
1153aa59800
122810312a6
13154251048
14ac98b406
156ade7660
hex44868b5e

1149668190 has 144 divisors (see below), whose sum is σ = 3308642064. Its totient is φ = 276756480.

The previous prime is 1149668161. The next prime is 1149668239. The reversal of 1149668190 is 918669411.

1149668190 is a `hidden beast` number, since 11 + 496 + 68 + 1 + 90 = 666.

It is a super-2 number, since 2×11496681902 = 2643473894195752200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2101497 + ... + 2102043.

It is an arithmetic number, because the mean of its divisors is an integer number (22976681).

Almost surely, 21149668190 is an apocalyptic number.

1149668190 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 1149668190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654321032).

1149668190 is an abundant number, since it is smaller than the sum of its proper divisors (2158973874).

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

1149668190 is a wasteful number, since it uses less digits than its factorization.

1149668190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1149668190 is about 33906.7572911359. The cubic root of 1149668190 is about 1047.5887800382.

The spelling of 1149668190 in words is "one billion, one hundred forty-nine million, six hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 193 198 242 330 363 386 495 547 579 605 726 965 990 1089 1094 1158 1210 1641 1737 1815 1930 2123 2178 2735 2895 3282 3474 3630 4246 4923 5445 5470 5790 6017 6369 8205 8685 9846 10615 10890 12034 12738 16410 17370 18051 19107 21230 23353 24615 30085 31845 36102 38214 46706 49230 54153 60170 63690 66187 70059 90255 95535 105571 108306 116765 132374 140118 180510 191070 198561 210177 211142 233530 270765 316713 330935 350295 397122 420354 527855 541530 595683 633426 661870 700590 950139 992805 1050885 1055710 1161281 1191366 1583565 1900278 1985610 2101770 2322562 2978415 3167130 3483843 4750695 5806405 5956830 6967686 9501390 10451529 11612810 12774091 17419215 20903058 25548182 34838430 38322273 52257645 63870455 76644546 104515290 114966819 127740910 191611365 229933638 383222730 574834095 1149668190