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30511104 = 212313191
BaseRepresentation
bin111010001100…
…1000000000000
32010102010100220
41310121000000
530302323404
63005543040
7520224441
oct164310000
963363326
1030511104
111624a498
12a274a80
136423810
1440a32c8
152a2a4d9
hex1d19000

30511104 has 104 divisors (see below), whose sum is σ = 88069632. Its totient is φ = 9338880.

The previous prime is 30511097. The next prime is 30511109. The reversal of 30511104 is 40111503.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30511109) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 159649 + ... + 159839.

Almost surely, 230511104 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 30511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44034816).

30511104 is an abundant number, since it is smaller than the sum of its proper divisors (57558528).

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

30511104 is a wasteful number, since it uses less digits than its factorization.

30511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 30511104 is about 5523.6857260347. The cubic root of 30511104 is about 312.4779000905.

Adding to 30511104 its reverse (40111503), we get a palindrome (70622607).

The spelling of 30511104 in words is "thirty million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 191 192 208 256 312 382 384 416 512 573 624 764 768 832 1024 1146 1248 1528 1536 1664 2048 2292 2483 2496 3056 3072 3328 4096 4584 4966 4992 6112 6144 6656 7449 9168 9932 9984 12224 12288 13312 14898 18336 19864 19968 24448 26624 29796 36672 39728 39936 48896 53248 59592 73344 79456 79872 97792 119184 146688 158912 159744 195584 238368 293376 317824 391168 476736 586752 635648 782336 953472 1173504 1271296 1906944 2347008 2542592 3813888 5085184 7627776 10170368 15255552 30511104