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1128553104 = 243724391093
BaseRepresentation
bin100001101000100…
…0101101010010000
32220122120102211010
41003101011222100
54302402144404
6303552450520
736652354200
oct10321055220
92818512733
101128553104
1152a047718
12275b49a40
1314ca6a203
14a9c52400
1569126189
hex43445a90

1128553104 has 120 divisors (see below), whose sum is σ = 3402252480. Its totient is φ = 321414912.

The previous prime is 1128553099. The next prime is 1128553117. The reversal of 1128553104 is 4013558211.

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 23 ways as a sum of consecutive naturals, for example, 1031982 + ... + 1033074.

It is an arithmetic number, because the mean of its divisors is an integer number (28352104).

Almost surely, 21128553104 is an apocalyptic number.

1128553104 is a gapful number since it is divisible by the number (14) 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 1128553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701126240).

1128553104 is an abundant number, since it is smaller than the sum of its proper divisors (2273699376).

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

1128553104 is a wasteful number, since it uses less digits than its factorization.

1128553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1128553104 is about 33593.9444543209. The cubic root of 1128553104 is about 1041.1356873778.

The spelling of 1128553104 in words is "one billion, one hundred twenty-eight million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 439 588 784 878 1093 1176 1317 1756 2186 2352 2634 3073 3279 3512 4372 5268 6146 6558 7024 7651 8744 9219 10536 12292 13116 15302 17488 18438 21072 21511 22953 24584 26232 30604 36876 43022 45906 49168 52464 53557 61208 64533 73752 86044 91812 107114 122416 129066 147504 160671 172088 183624 214228 258132 321342 344176 367248 428456 479827 516264 642684 856912 959654 1032528 1285368 1439481 1919308 2570736 2878962 3358789 3838616 5757924 6717578 7677232 10076367 11515848 13435156 20152734 23031696 23511523 26870312 40305468 47023046 53740624 70534569 80610936 94046092 141069138 161221872 188092184 282138276 376184368 564276552 1128553104