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16540380 = 22325432137
BaseRepresentation
bin111111000110…
…001011011100
31011010100010200
4333012023130
513213243010
61350303500
7260406453
oct77061334
934110120
1016540380
11937803a
125657b90
13357180c
1422a7b9a
1516bacc0
hexfc62dc

16540380 has 72 divisors (see below), whose sum is σ = 51363312. Its totient is φ = 4306176.

The previous prime is 16540367. The next prime is 16540387. The reversal of 16540380 is 8304561.

16540380 is a `hidden beast` number, since 1 + 654 + 0 + 3 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16540387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6672 + ... + 8808.

Almost surely, 216540380 is an apocalyptic number.

16540380 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 16540380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25681656).

16540380 is an abundant number, since it is smaller than the sum of its proper divisors (34822932).

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

16540380 is a wasteful number, since it uses less digits than its factorization.

16540380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16540380 is about 4066.9865994370. The cubic root of 16540380 is about 254.7896766312.

The spelling of 16540380 in words is "sixteen million, five hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2137 2580 3870 4274 6411 7740 8548 10685 12822 19233 21370 25644 32055 38466 42740 64110 76932 91891 96165 128220 183782 192330 275673 367564 384660 459455 551346 827019 918910 1102692 1378365 1654038 1837820 2756730 3308076 4135095 5513460 8270190 16540380