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6120828 = 22327107227
BaseRepresentation
bin10111010110010101111100
3102111222012100
4113112111330
53031331303
6335105100
7103011660
oct27262574
912458170
106120828
11350073a
122072190
131363cbc
14b548a0
1580d8a3
hex5d657c

6120828 has 72 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1724832.

The previous prime is 6120823. The next prime is 6120853. The reversal of 6120828 is 8280216.

6120828 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6120823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26851 + ... + 27077.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 26120828 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 6120828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

6120828 is an abundant number, since it is smaller than the sum of its proper divisors (11805444).

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

6120828 is a wasteful number, since it uses less digits than its factorization.

6120828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6120828 is about 2474.0307192919. The cubic root of 6120828 is about 182.9237342332.

The spelling of 6120828 in words is "six million, one hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 227 252 321 428 454 642 681 749 908 963 1284 1362 1498 1589 1926 2043 2247 2724 2996 3178 3852 4086 4494 4767 6356 6741 8172 8988 9534 13482 14301 19068 24289 26964 28602 48578 57204 72867 97156 145734 170023 218601 291468 340046 437202 510069 680092 874404 1020138 1530207 2040276 3060414 6120828