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20147556 = 223111359199
BaseRepresentation
bin100110011011…
…0110101100100
31101220121020210
41030312311210
520124210211
61555455420
7333152142
oct114666544
941817223
1020147556
1110411180
1268b7570
134235640
142966592
151b7e9a6
hex1336d64

20147556 has 96 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 5512320.

The previous prime is 20147549. The next prime is 20147587. The reversal of 20147556 is 65574102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101145 + ... + 101343.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 220147556 is an apocalyptic number.

20147556 is a gapful number since it is divisible by the number (26) 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 20147556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

20147556 is an abundant number, since it is smaller than the sum of its proper divisors (36300444).

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

20147556 is a wasteful number, since it uses less digits than its factorization.

20147556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 20147556 is about 4488.6029006808. The cubic root of 20147556 is about 272.1076743541.

The spelling of 20147556 in words is "twenty million, one hundred forty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 177 199 236 286 354 398 429 572 597 649 708 767 796 858 1194 1298 1534 1716 1947 2189 2301 2388 2587 2596 3068 3894 4378 4602 5174 6567 7761 7788 8437 8756 9204 10348 11741 13134 15522 16874 23482 25311 26268 28457 31044 33748 35223 46964 50622 56914 70446 85371 101244 113828 129151 140892 152633 170742 258302 305266 341484 387453 457899 516604 610532 774906 915798 1549812 1678963 1831596 3357926 5036889 6715852 10073778 20147556