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6048480 = 253512601
BaseRepresentation
bin10111000100101011100000
3102101021221210
4113010223200
53022022410
6333350120
7102261024
oct27045340
912337853
106048480
113461349
122038340
13133a0a9
14b36384
157e7220
hex5c4ae0

6048480 has 48 divisors (see below), whose sum is σ = 19054224. Its totient is φ = 1612800.

The previous prime is 6048473. The next prime is 6048487. The reversal of 6048480 is 848406.

It is an interprime number because it is at equal distance from previous prime (6048473) and next prime (6048487).

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

It is a super-2 number, since 2×60484802 = 73168220620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6048487) 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, 5821 + ... + 6780.

It is an arithmetic number, because the mean of its divisors is an integer number (396963).

Almost surely, 26048480 is an apocalyptic number.

6048480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6048480 is an abundant number, since it is smaller than the sum of its proper divisors (13005744).

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

6048480 is a wasteful number, since it uses less digits than its factorization.

6048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12619 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6048480 is about 2459.3657719014. The cubic root of 6048480 is about 182.2001581675.

The spelling of 6048480 in words is "six million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12601 25202 37803 50404 63005 75606 100808 126010 151212 189015 201616 252020 302424 378030 403232 504040 604848 756060 1008080 1209696 1512120 2016160 3024240 6048480