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16108080 = 2435411637
BaseRepresentation
bin111101011100…
…101000110000
31010022101010120
4331130220300
513110424310
61333130240
7253626222
oct75345060
933271116
1016108080
11910226a
125489980
13344cb11
1421d4412
151632b70
hexf5ca30

16108080 has 80 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 4188160.

The previous prime is 16108069. The next prime is 16108091. The reversal of 16108080 is 8080161.

16108080 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 (16108069) and next prime (16108091).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16108080.

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, 9022 + ... + 10658.

Almost surely, 216108080 is an apocalyptic number.

16108080 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 16108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

16108080 is an abundant number, since it is smaller than the sum of its proper divisors (35076144).

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

16108080 is a wasteful number, since it uses less digits than its factorization.

16108080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 16108080 is about 4013.4872617214. The cubic root of 16108080 is about 252.5503216374.

The spelling of 16108080 in words is "sixteen million, one hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1637 1640 1968 2460 3274 3280 4911 4920 6548 8185 9822 9840 13096 16370 19644 24555 26192 32740 39288 49110 65480 67117 78576 98220 130960 134234 196440 201351 268468 335585 392880 402702 536936 671170 805404 1006755 1073872 1342340 1610808 2013510 2684680 3221616 4027020 5369360 8054040 16108080