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16204144 = 2411234003
BaseRepresentation
bin111101110100…
…000101110000
31010111020220111
4331310011300
513122013034
61335151104
7254506255
oct75640560
933436814
1016204144
119168460
125515494
133484768
14221b42c
151651364
hexf74170

16204144 has 40 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 7043520.

The previous prime is 16204129. The next prime is 16204147. The reversal of 16204144 is 44140261.

16204144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16204147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047 + ... + 6049.

Almost surely, 216204144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

16204144 is an abundant number, since it is smaller than the sum of its proper divisors (19543568).

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

16204144 is a wasteful number, since it uses less digits than its factorization.

16204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 16204144 is about 4025.4371191214. The cubic root of 16204144 is about 253.0513729670.

The spelling of 16204144 in words is "sixteen million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4003 4048 8006 16012 32024 44033 64048 88066 92069 176132 184138 352264 368276 704528 736552 1012759 1473104 2025518 4051036 8102072 16204144