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16330272 = 2537191279
BaseRepresentation
bin111110010010…
…111000100000
31010201122220220
4332102320200
513140032042
61342003040
7255543060
oct76227040
933648826
1016330272
1192441a2
125576480
1334c9caa
1422513a0
1516788ec
hexf92e20

16330272 has 96 divisors (see below), whose sum is σ = 51609600. Its totient is φ = 4416768.

The previous prime is 16330261. The next prime is 16330289. The reversal of 16330272 is 27203361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12129 + ... + 13407.

It is an arithmetic number, because the mean of its divisors is an integer number (537600).

Almost surely, 216330272 is an apocalyptic number.

16330272 is a gapful number since it is divisible by the number (12) 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 16330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804800).

16330272 is an abundant number, since it is smaller than the sum of its proper divisors (35279328).

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

16330272 is a wasteful number, since it uses less digits than its factorization.

16330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 16330272 is about 4041.0731248024. The cubic root of 16330272 is about 253.7062344541.

The spelling of 16330272 in words is "sixteen million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1279 1596 1824 2128 2558 3192 3837 4256 5116 6384 7674 8953 10232 12768 15348 17906 20464 24301 26859 30696 35812 40928 48602 53718 61392 71624 72903 97204 107436 122784 143248 145806 170107 194408 214872 286496 291612 340214 388816 429744 510321 583224 680428 777632 859488 1020642 1166448 1360856 2041284 2332896 2721712 4082568 5443424 8165136 16330272