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1103041040 = 245374161149
BaseRepresentation
bin100000110111111…
…0001001000010000
32211212120021211212
41001233301020100
54224334303130
6301241555252
736222460043
oct10157611020
92755507755
101103041040
11516702072
122694a5b28
131476a6c0a
14a66d0c5a
1566c86e95
hex41bf1210

1103041040 has 160 divisors (see below), whose sum is σ = 2760760800. Its totient is φ = 409190400.

The previous prime is 1103041001. The next prime is 1103041057. The reversal of 1103041040 is 401403011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 818646544 + 284394496 = 28612^2 + 16864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7402886 + ... + 7403034.

It is an arithmetic number, because the mean of its divisors is an integer number (17254755).

Almost surely, 21103041040 is an apocalyptic number.

1103041040 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 1103041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380380400).

1103041040 is an abundant number, since it is smaller than the sum of its proper divisors (1657719760).

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

1103041040 is a wasteful number, since it uses less digits than its factorization.

1103041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1103041040 is about 33212.0616644014. The cubic root of 1103041040 is about 1033.2305144546.

Adding to 1103041040 its reverse (401403011), we get a palindrome (1504444051).

The spelling of 1103041040 in words is "one billion, one hundred three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 61 74 80 82 122 148 149 164 185 205 244 296 298 305 328 370 410 488 592 596 610 656 740 745 820 976 1192 1220 1480 1490 1517 1640 2257 2384 2440 2501 2960 2980 3034 3280 4514 4880 5002 5513 5960 6068 6109 7585 9028 9089 10004 11026 11285 11920 12136 12218 12505 15170 18056 18178 20008 22052 22570 24272 24436 25010 27565 30340 30545 36112 36356 40016 44104 45140 45445 48872 50020 55130 60680 61090 72712 88208 90280 90890 92537 97744 100040 110260 121360 122180 145424 180560 181780 185074 200080 220520 226033 244360 336293 363560 370148 372649 441040 452066 462685 488720 672586 727120 740296 745298 904132 925370 1130165 1345172 1480592 1490596 1681465 1808264 1850740 1863245 2260330 2690344 2981192 3362930 3616528 3701480 3726490 4520660 5380688 5962384 6725860 7402960 7452980 9041320 13451720 13788013 14905960 18082640 26903440 27576026 29811920 55152052 68940065 110304104 137880130 220608208 275760260 551520520 1103041040