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16045380 = 22325136857
BaseRepresentation
bin111101001101…
…010101000100
31010012012010100
4331031111010
513101423010
61331524100
7253245351
oct75152504
933165110
1016045380
11906a14a
125459630
13342a410
1421b9628
15161e2c0
hexf4d544

16045380 has 72 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 3949056.

The previous prime is 16045373. The next prime is 16045387. The reversal of 16045380 is 8354061.

16045380 is a `hidden beast` number, since 1 + 604 + 53 + 8 + 0 = 666.

16045380 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 (16045373) and next prime (16045387).

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 15256836 = 888^2 + 3906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16045387) 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, 1089 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 216045380 is an apocalyptic number.

16045380 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 16045380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

16045380 is an abundant number, since it is smaller than the sum of its proper divisors (36377172).

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

16045380 is a wasteful number, since it uses less digits than its factorization.

16045380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6880 counting only the distinct ones).

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

The square root of 16045380 is about 4005.6684835368. The cubic root of 16045380 is about 252.2222151784. Note that the first 4 decimals are identical.

The spelling of 16045380 in words is "sixteen million, forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6857 13714 20571 27428 34285 41142 61713 68570 82284 89141 102855 123426 137140 178282 205710 246852 267423 308565 356564 411420 445705 534846 617130 802269 891410 1069692 1234260 1337115 1604538 1782820 2674230 3209076 4011345 5348460 8022690 16045380