Search a number
-
+
19927296 = 2834312
BaseRepresentation
bin100110000000…
…1000100000000
31101111102010000
41030001010000
520100133141
61551040000
7331244034
oct114010400
941442100
1019927296
1110280744
126810000
1341892cc
14290a1c4
151b395b6
hex1301100

19927296 has 135 divisors (see below), whose sum is σ = 61398183. Its totient is φ = 6428160.

The previous prime is 19927289. The next prime is 19927301. The reversal of 19927296 is 69272991.

The square root of 19927296 is 4464.

It is a perfect power (a square), and thus also a powerful number.

Its product of digits (122472) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 642801 + ... + 642831.

Almost surely, 219927296 is an apocalyptic number.

19927296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19927296 is the 4464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19927296

19927296 is an abundant number, since it is smaller than the sum of its proper divisors (41470887).

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

19927296 is an frugal number, since it uses more digits than its factorization.

19927296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The cubic root of 19927296 is about 271.1124472647.

It can be divided in two parts, 199 and 27296, that added together give a triangular number (27495 = T234).

The spelling of 19927296 in words is "nineteen million, nine hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 256 279 288 324 372 384 432 496 558 576 648 744 768 837 864 961 992 1116 1152 1296 1488 1674 1728 1922 1984 2232 2304 2511 2592 2883 2976 3348 3456 3844 3968 4464 5022 5184 5766 5952 6696 6912 7688 7936 8649 8928 10044 10368 11532 11904 13392 15376 17298 17856 20088 20736 23064 23808 25947 26784 30752 34596 35712 40176 46128 51894 53568 61504 69192 71424 77841 80352 92256 103788 107136 123008 138384 155682 160704 184512 207576 214272 246016 276768 311364 321408 369024 415152 553536 622728 642816 738048 830304 1107072 1245456 1660608 2214144 2490912 3321216 4981824 6642432 9963648 19927296