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6128772 = 22313172311
BaseRepresentation
bin10111011000010010000100
3102112101002120
4113120102010
53032110042
6335205540
7103044066
oct27302204
912471076
106128772
113506701
1220768b0
1313677c0
14b57736
15810dec
hex5d8484

6128772 has 48 divisors (see below), whose sum is σ = 16313472. Its totient is φ = 1774080.

The previous prime is 6128767. The next prime is 6128777. The reversal of 6128772 is 2778216.

It is an interprime number because it is at equal distance from previous prime (6128767) and next prime (6128777).

It is not an unprimeable number, because it can be changed into a prime (6128777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (339864).

Almost surely, 26128772 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 6128772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156736).

6128772 is an abundant number, since it is smaller than the sum of its proper divisors (10184700).

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

6128772 is a wasteful number, since it uses less digits than its factorization.

6128772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2346 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 6128772 is about 2475.6356759426. The cubic root of 6128772 is about 183.0028367084.

It can be divided in two parts, 6 and 128772, that added together give a triangular number (128778 = T507).

The spelling of 6128772 in words is "six million, one hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2311 2652 4622 6933 9244 13866 27732 30043 39287 60086 78574 90129 117861 120172 157148 180258 235722 360516 471444 510731 1021462 1532193 2042924 3064386 6128772