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1119411072 = 27321374747
BaseRepresentation
bin100001010111000…
…1101101110000000
32220000100222022100
41002232031232000
54243032123242
6303024510400
736511560063
oct10256155600
92800328270
101119411072
1152497311a
12272a7b400
1314abb9020
14a89528da
156841c54c
hex42b8db80

1119411072 has 96 divisors (see below), whose sum is σ = 3469054680. Its totient is φ = 344429568.

The previous prime is 1119411067. The next prime is 1119411091. The reversal of 1119411072 is 2701149111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11194110722 = 2506162296232378368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22398 + ... + 52349.

Almost surely, 21119411072 is an apocalyptic number.

1119411072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1119411072 is an abundant number, since it is smaller than the sum of its proper divisors (2349643608).

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

1119411072 is a wasteful number, since it uses less digits than its factorization.

1119411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74780 (or 74765 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 1119411072 is about 33457.6011094639. The cubic root of 1119411072 is about 1038.3167643394.

The spelling of 1119411072 in words is "one billion, one hundred nineteen million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 74747 149494 224241 298988 448482 597976 672723 896964 971711 1195952 1345446 1793928 1943422 2391904 2690892 2915133 3587856 3886844 4783808 5381784 5830266 7175712 7773688 8745399 9567616 10763568 11660532 14351424 15547376 17490798 21527136 23321064 28702848 31094752 34981596 43054272 46642128 62189504 69963192 86108544 93284256 124379008 139926384 186568512 279852768 373137024 559705536 1119411072