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16314816 = 263761199
BaseRepresentation
bin111110001111…
…000111000000
31010200212201110
4332033013000
513134033231
61341403320
7255450030
oct76170700
933625643
1016314816
119233621
125569540
1334c2c4b
1422498c0
151674046
hexf8f1c0

16314816 has 112 divisors (see below), whose sum is σ = 50393600. Its totient is φ = 4561920.

The previous prime is 16314803. The next prime is 16314841. The reversal of 16314816 is 61841361.

16314816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×163148162 = 532346442227712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81885 + ... + 82083.

Almost surely, 216314816 is an apocalyptic number.

16314816 is a gapful number since it is divisible by the number (16) 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 16314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25196800).

16314816 is an abundant number, since it is smaller than the sum of its proper divisors (34078784).

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

16314816 is a wasteful number, since it uses less digits than its factorization.

16314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 16314816 is about 4039.1603087771. The cubic root of 16314816 is about 253.6261679917.

The spelling of 16314816 in words is "sixteen million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 199 224 244 336 366 398 427 448 488 597 672 732 796 854 976 1194 1281 1344 1393 1464 1592 1708 1952 2388 2562 2786 2928 3184 3416 3904 4179 4776 5124 5572 5856 6368 6832 8358 9552 10248 11144 11712 12139 12736 13664 16716 19104 20496 22288 24278 27328 33432 36417 38208 40992 44576 48556 66864 72834 81984 84973 89152 97112 133728 145668 169946 194224 254919 267456 291336 339892 388448 509838 582672 679784 776896 1019676 1165344 1359568 2039352 2330688 2719136 4078704 5438272 8157408 16314816