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16074000 = 2432531947
BaseRepresentation
bin111101010100…
…010100010000
31010020122101100
4331110110100
513103332000
61332304400
7253424655
oct75242420
933218340
1016074000
1190896a8
125472100
13343a457
1421c5c2c
151627a00
hexf54510

16074000 has 240 divisors, whose sum is σ = 60353280. Its totient is φ = 3974400.

The previous prime is 16073983. The next prime is 16074001. The reversal of 16074000 is 47061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16074001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341977 + ... + 342023.

It is an arithmetic number, because the mean of its divisors is an integer number (251472).

Almost surely, 216074000 is an apocalyptic number.

16074000 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 16074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

16074000 is an abundant number, since it is smaller than the sum of its proper divisors (44279280).

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

16074000 is a wasteful number, since it uses less digits than its factorization.

16074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16074000 is about 4009.2393293491. The cubic root of 16074000 is about 252.3720882702.

The spelling of 16074000 in words is "sixteen million, seventy-four thousand".