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11106304 = 211111729
BaseRepresentation
bin101010010111…
…100000000000
3202220020222121
4222113200000
510320400204
61034014024
7163254616
oct52274000
922806877
1011106304
1162a6370
123877314
1323bb2a1
1416916b6
15e95b54
hexa97800

11106304 has 96 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 4587520.

The previous prime is 11106299. The next prime is 11106323. The reversal of 11106304 is 40360111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382962 + ... + 382990.

Almost surely, 211106304 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 11106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

11106304 is an abundant number, since it is smaller than the sum of its proper divisors (15429296).

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

11106304 is a wasteful number, since it uses less digits than its factorization.

11106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11106304 is about 3332.6121886592. The cubic root of 11106304 is about 223.1121316664.

Adding to 11106304 its reverse (40360111), we get a palindrome (51466415).

The spelling of 11106304 in words is "eleven million, one hundred six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 88 116 128 136 176 187 232 256 272 319 352 374 464 493 512 544 638 704 748 928 986 1024 1088 1276 1408 1496 1856 1972 2048 2176 2552 2816 2992 3712 3944 4352 5104 5423 5632 5984 7424 7888 8704 10208 10846 11264 11968 14848 15776 17408 20416 21692 22528 23936 29696 31552 34816 40832 43384 47872 59392 63104 81664 86768 95744 126208 163328 173536 191488 252416 326656 347072 382976 504832 653312 694144 1009664 1388288 2776576 5553152 11106304