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11032704 = 273261157
BaseRepresentation
bin101010000101…
…100010000000
3202202112000200
4222011202000
510311021304
61032245200
7162530214
oct52054200
922675020
1011032704
116256041
123840800
132393937
141672944
15e7de39
hexa85880

11032704 has 96 divisors (see below), whose sum is σ = 32473740. Its totient is φ = 3594240.

The previous prime is 11032699. The next prime is 11032727. The reversal of 11032704 is 40723011.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 1742400 = 3048^2 + 1320^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70194 + ... + 70350.

Almost surely, 211032704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236870).

11032704 is an abundant number, since it is smaller than the sum of its proper divisors (21441036).

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

11032704 is a wasteful number, since it uses less digits than its factorization.

11032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11032704 is about 3321.5514447318. The cubic root of 11032704 is about 222.6181941571.

Adding to 11032704 its reverse (40723011), we get a palindrome (51755715).

The spelling of 11032704 in words is "eleven million, thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 157 183 192 244 288 314 366 384 471 488 549 576 628 732 942 976 1098 1152 1256 1413 1464 1884 1952 2196 2512 2826 2928 3768 3904 4392 5024 5652 5856 7536 7808 8784 9577 10048 11304 11712 15072 17568 19154 20096 22608 23424 28731 30144 35136 38308 45216 57462 60288 70272 76616 86193 90432 114924 153232 172386 180864 229848 306464 344772 459696 612928 689544 919392 1225856 1379088 1838784 2758176 3677568 5516352 11032704