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6029120 = 26583227
BaseRepresentation
bin10110111111111101000000
3102100022101202
4112333331000
53020412440
6333120332
7102150416
oct26777500
912308352
106029120
113448849
1220290a8
131331336
14b2d2b6
157e1615
hex5bff40

6029120 has 56 divisors (see below), whose sum is σ = 14593824. Its totient is φ = 2372096.

The previous prime is 6029119. The next prime is 6029123. The reversal of 6029120 is 219206.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6029092 and 6029101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6029123) 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, 26447 + ... + 26673.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 26029120 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 6029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296912).

6029120 is an abundant number, since it is smaller than the sum of its proper divisors (8564704).

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

6029120 is a wasteful number, since it uses less digits than its factorization.

6029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6029120 is about 2455.4266431722. The cubic root of 6029120 is about 182.0055547151.

The spelling of 6029120 in words is "six million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 227 320 332 415 454 664 830 908 1135 1328 1660 1816 2270 2656 3320 3632 4540 5312 6640 7264 9080 13280 14528 18160 18841 26560 36320 37682 72640 75364 94205 150728 188410 301456 376820 602912 753640 1205824 1507280 3014560 6029120