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21004144 = 247273367
BaseRepresentation
bin101000000011…
…1111101110000
31110112010021021
41100013331300
520334113034
62030105224
7343350400
oct120077560
943463237
1021004144
11109467a7
12704b214
1344754b5
142b0a800
151c9d6b4
hex1407f70

21004144 has 60 divisors (see below), whose sum is σ = 48118944. Its totient is φ = 8854272.

The previous prime is 21004117. The next prime is 21004153. The reversal of 21004144 is 44140012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57049 + ... + 57415.

Almost surely, 221004144 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 21004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059472).

21004144 is an abundant number, since it is smaller than the sum of its proper divisors (27114800).

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

21004144 is a wasteful number, since it uses less digits than its factorization.

21004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 21004144 is about 4583.0278201207. The cubic root of 21004144 is about 275.9105640347.

Adding to 21004144 its reverse (44140012), we get a palindrome (65144156).

The spelling of 21004144 in words is "twenty-one million, four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 367 392 511 584 734 784 1022 1168 1468 2044 2569 2936 3577 4088 5138 5872 7154 8176 10276 14308 17983 20552 26791 28616 35966 41104 53582 57232 71932 107164 143864 187537 214328 287728 375074 428656 750148 1312759 1500296 2625518 3000592 5251036 10502072 21004144