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1104455040 = 27351344249
BaseRepresentation
bin100000111010100…
…1010010110000000
32211222020010111020
41001311022112000
54230220030130
6301332145440
736240466353
oct10165122600
92758203436
101104455040
11517488467
12269a68280
13147a806c0
14a697c29a
1566e65e10
hex41d4a580

1104455040 has 128 divisors (see below), whose sum is σ = 3791340000. Its totient is φ = 271859712.

The previous prime is 1104455039. The next prime is 1104455063. The reversal of 1104455040 is 405544011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1104455040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2836 + ... + 47084.

Almost surely, 21104455040 is an apocalyptic number.

1104455040 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 1104455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895670000).

1104455040 is an abundant number, since it is smaller than the sum of its proper divisors (2686884960).

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

1104455040 is a wasteful number, since it uses less digits than its factorization.

1104455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44284 (or 44272 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1104455040 is about 33233.3422935461. The cubic root of 1104455040 is about 1033.6718289821.

Adding to 1104455040 its reverse (405544011), we get a palindrome (1509999051).

The spelling of 1104455040 in words is "one billion, one hundred four million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 44249 88498 132747 176996 221245 265494 353992 442490 530988 575237 663735 707984 884980 1061976 1150474 1327470 1415968 1725711 1769960 2123952 2300948 2654940 2831936 2876185 3451422 3539920 4247904 4601896 5309880 5663872 5752370 6902844 7079840 8495808 8628555 9203792 10619760 11504740 13805688 14159680 16991616 17257110 18407584 21239520 23009480 27611376 28319360 34514220 36815168 42479040 46018960 55222752 69028440 73630336 84958080 92037920 110445504 138056880 184075840 220891008 276113760 368151680 552227520 1104455040