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11130048 = 263419113
BaseRepresentation
bin101010011101…
…010011000000
3202221110120000
4222131103000
510322130143
61034320000
7163414056
oct52352300
922843500
1011130048
116312196
123889000
1323c9037
14169a1d6
15e9cbd3
hexa9d4c0

11130048 has 140 divisors (see below), whose sum is σ = 35036760. Its totient is φ = 3483648.

The previous prime is 11130047. The next prime is 11130061. The reversal of 11130048 is 84003111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11130048.

It is not an unprimeable number, because it can be changed into a prime (11130043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98440 + ... + 98552.

Almost surely, 211130048 is an apocalyptic number.

11130048 is a gapful number since it is divisible by the number (18) 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 11130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518380).

11130048 is an abundant number, since it is smaller than the sum of its proper divisors (23906712).

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

11130048 is a wasteful number, since it uses less digits than its factorization.

11130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11130048 is about 3336.1726574025. The cubic root of 11130048 is about 223.2710145174.

Adding to 11130048 its reverse (84003111), we get a palindrome (95133159).

The spelling of 11130048 in words is "eleven million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 113 114 144 152 162 171 192 216 226 228 288 304 324 339 342 432 452 456 513 576 608 648 678 684 864 904 912 1017 1026 1216 1296 1356 1368 1539 1728 1808 1824 2034 2052 2147 2592 2712 2736 3051 3078 3616 3648 4068 4104 4294 5184 5424 5472 6102 6156 6441 7232 8136 8208 8588 9153 10848 10944 12204 12312 12882 16272 16416 17176 18306 19323 21696 24408 24624 25764 32544 32832 34352 36612 38646 48816 49248 51528 57969 65088 68704 73224 77292 97632 98496 103056 115938 137408 146448 154584 173907 195264 206112 231876 292896 309168 347814 412224 463752 585792 618336 695628 927504 1236672 1391256 1855008 2782512 3710016 5565024 11130048