Search a number
-
+
20095464 = 23319127347
BaseRepresentation
bin100110010101…
…0000111101000
31101210221210110
41030222013220
520121023324
61554414320
7332544234
oct114520750
941727713
1020095464
1110386024
1268913a0
134217a0c
1429515c4
151b6e329
hex132a1e8

20095464 has 64 divisors (see below), whose sum is σ = 53452800. Its totient is φ = 6277824.

The previous prime is 20095447. The next prime is 20095489. The reversal of 20095464 is 46459002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57739 + ... + 58085.

It is an arithmetic number, because the mean of its divisors is an integer number (835200).

Almost surely, 220095464 is an apocalyptic number.

20095464 is a gapful number since it is divisible by the number (24) 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 20095464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26726400).

20095464 is an abundant number, since it is smaller than the sum of its proper divisors (33357336).

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

20095464 is a wasteful number, since it uses less digits than its factorization.

20095464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20095464 is about 4482.7964486468. The cubic root of 20095464 is about 271.8729582619.

The spelling of 20095464 in words is "twenty million, ninety-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 347 381 456 508 694 762 1016 1041 1388 1524 2082 2413 2776 3048 4164 4826 6593 7239 8328 9652 13186 14478 19304 19779 26372 28956 39558 44069 52744 57912 79116 88138 132207 158232 176276 264414 352552 528828 837311 1057656 1674622 2511933 3349244 5023866 6698488 10047732 20095464