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11168928 = 253431139
BaseRepresentation
bin101010100110…
…110010100000
3210000102220000
4222212302200
510324401203
61035220000
7163635321
oct52466240
923012800
1011168928
116339421
1238a7600
132410944
1416aa448
15ea94a3
hexaa6ca0

11168928 has 120 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3576960.

The previous prime is 11168909. The next prime is 11168947. The reversal of 11168928 is 82986111.

It is an interprime number because it is at equal distance from previous prime (11168909) and next prime (11168947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6912) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 11168892 and 11168901.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80283 + ... + 80421.

It is an arithmetic number, because the mean of its divisors is an integer number (284592).

Almost surely, 211168928 is an apocalyptic number.

11168928 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 11168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11168928 is an abundant number, since it is smaller than the sum of its proper divisors (22982112).

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

11168928 is a wasteful number, since it uses less digits than its factorization.

11168928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11168928 is about 3341.9946139993. The cubic root of 11168928 is about 223.5306926003.

Adding to 11168928 its sum of digits (36), we get a square (11168964 = 33422).

The spelling of 11168928 in words is "eleven million, one hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 139 144 162 186 216 248 278 279 288 324 372 417 432 496 556 558 648 744 834 837 864 992 1112 1116 1251 1296 1488 1668 1674 2224 2232 2502 2511 2592 2976 3336 3348 3753 4309 4448 4464 5004 5022 6672 6696 7506 8618 8928 10008 10044 11259 12927 13344 13392 15012 17236 20016 20088 22518 25854 26784 30024 34472 38781 40032 40176 45036 51708 60048 68944 77562 80352 90072 103416 116343 120096 137888 155124 180144 206832 232686 310248 349029 360288 413664 465372 620496 698058 930744 1240992 1396116 1861488 2792232 3722976 5584464 11168928