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16116480 = 283251399
BaseRepresentation
bin111101011110…
…101100000000
31010022210122200
4331132230000
513111211410
61333233200
7253662552
oct75365400
933283580
1016116480
119108606
125492800
1334538a3
1421d74d2
1516353c0
hexf5eb00

16116480 has 108 divisors (see below), whose sum is σ = 55801200. Its totient is φ = 4294656.

The previous prime is 16116479. The next prime is 16116481. The reversal of 16116480 is 8461161.

16116480 is a `hidden beast` number, since 1 + 6 + 11 + 648 + 0 = 666.

16116480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16116479) and next prime (16116481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16116481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10821 + ... + 12219.

Almost surely, 216116480 is an apocalyptic number.

16116480 is a gapful number since it is divisible by the number (10) 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 16116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900600).

16116480 is an abundant number, since it is smaller than the sum of its proper divisors (39684720).

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

16116480 is a wasteful number, since it uses less digits than its factorization.

16116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 16116480 is about 4014.5335968204. The cubic root of 16116480 is about 252.5942137721.

It can be divided in two parts, 161 and 16480, that added together give a square (16641 = 1292).

The spelling of 16116480 in words is "sixteen million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1399 1440 1920 2304 2798 2880 3840 4197 5596 5760 6995 8394 11192 11520 12591 13990 16788 20985 22384 25182 27980 33576 41970 44768 50364 55960 62955 67152 83940 89536 100728 111920 125910 134304 167880 179072 201456 223840 251820 268608 335760 358144 402912 447680 503640 537216 671520 805824 895360 1007280 1074432 1343040 1611648 1790720 2014560 2686080 3223296 4029120 5372160 8058240 16116480