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6042024 = 2332312707
BaseRepresentation
bin10111000011000110101000
3102100222002200
4113003012220
53021321044
6333300200
7102233142
oct27030650
912328080
106042024
11345750a
122034660
131337181
14b33c92
157e5369
hex5c31a8

6042024 has 48 divisors (see below), whose sum is σ = 16897920. Its totient is φ = 1948320.

The previous prime is 6042007. The next prime is 6042041. The reversal of 6042024 is 4202406.

6042024 is digitally balanced in base 5, 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 (6042007) and next prime (6042041).

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

It is a junction number, because it is equal to n+sod(n) for n = 6041988 and 6042006.

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, 879 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (352040).

Almost surely, 26042024 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 6042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448960).

6042024 is an abundant number, since it is smaller than the sum of its proper divisors (10855896).

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

6042024 is a wasteful number, since it uses less digits than its factorization.

6042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6042024 is about 2458.0528879583. The cubic root of 6042024 is about 182.1353097548.

It can be divided in two parts, 604 and 2024, that added together give a triangular number (2628 = T72).

The spelling of 6042024 in words is "six million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2707 5414 8121 10828 16242 21656 24363 32484 48726 64968 83917 97452 167834 194904 251751 335668 503502 671336 755253 1007004 1510506 2014008 3021012 6042024