Search a number
-
+
6273024 = 21131021
BaseRepresentation
bin10111111011100000000000
3102210200222020
4113323200000
53101214044
6342241440
7104214462
oct27734000
912720866
106273024
1135a501a
122126280
1313b8364
14b94132
1583da19
hex5fb800

6273024 has 48 divisors (see below), whose sum is σ = 16740360. Its totient is φ = 2088960.

The previous prime is 6273023. The next prime is 6273031. The reversal of 6273024 is 4203726.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6272985 and 6273003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6273023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5634 + ... + 6654.

Almost surely, 26273024 is an apocalyptic number.

6273024 is a gapful number since it is divisible by the number (64) 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 6273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370180).

6273024 is an abundant number, since it is smaller than the sum of its proper divisors (10467336).

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

6273024 is a wasteful number, since it uses less digits than its factorization.

6273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6273024 is about 2504.6005669567. The cubic root of 6273024 is about 184.4274874601.

The spelling of 6273024 in words is "six million, two hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1021 1024 1536 2042 2048 3063 3072 4084 6126 6144 8168 12252 16336 24504 32672 49008 65344 98016 130688 196032 261376 392064 522752 784128 1045504 1568256 2091008 3136512 6273024