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11451072 = 263194373
BaseRepresentation
bin101011101011…
…101011000000
3210112202220210
4223223223000
510412413242
61045234120
7166222023
oct53535300
923482823
1011451072
1165113a6
123a02940
1324ac1a9
1417411ba
151012d9c
hexaebac0

11451072 has 112 divisors (see below), whose sum is σ = 33080960. Its totient is φ = 3483648.

The previous prime is 11451071. The next prime is 11451073. The reversal of 11451072 is 27015411.

It is a happy number.

11451072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11451071) and next prime (11451073).

It is a super-2 number, since 2×114510722 = 262254099898368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156828 + ... + 156900.

Almost surely, 211451072 is an apocalyptic number.

11451072 is a gapful number since it is divisible by the number (12) 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 11451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540480).

11451072 is an abundant number, since it is smaller than the sum of its proper divisors (21629888).

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

11451072 is a wasteful number, since it uses less digits than its factorization.

11451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11451072 is about 3383.9432619357. The cubic root of 11451072 is about 225.3973029713.

Adding to 11451072 its reverse (27015411), we get a palindrome (38466483).

The spelling of 11451072 in words is "eleven million, four hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 73 76 86 96 114 129 146 152 172 192 219 228 258 292 304 344 438 456 516 584 608 688 817 876 912 1032 1168 1216 1376 1387 1634 1752 1824 2064 2336 2451 2752 2774 3139 3268 3504 3648 4128 4161 4672 4902 5548 6278 6536 7008 8256 8322 9417 9804 11096 12556 13072 14016 16644 18834 19608 22192 25112 26144 33288 37668 39216 44384 50224 52288 59641 66576 75336 78432 88768 100448 119282 133152 150672 156864 178923 200896 238564 266304 301344 357846 477128 602688 715692 954256 1431384 1908512 2862768 3817024 5725536 11451072